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Finding the Fourth Proportional to 53.52, 80.24 and 25

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Solution

The fourth proportional to 53.52, 80.24 and 25 is: 37.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.52 : 80.24 = 25 : x
  2. Step 2: Convert to fraction form
    53.52/80.24 = 25/x
  3. Step 3: Cross multiply
    53.52x = 80.24 × 25
  4. Step 4: Simplify right side
    53.52x = 2,006.00
  5. Step 5: Solve for x
    x = 2,006.00/53.52
  6. Step 6: Final answer
    x = 37.48

Related Problems

Find fourth proportional to 26.76, 40.12 and 12.50
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.