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Finding the Fourth Proportional to 53.52, 80.19 and 26.40

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Solution

The fourth proportional to 53.52, 80.19 and 26.40 is: 39.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.52 : 80.19 = 26.40 : x
  2. Step 2: Convert to fraction form
    53.52/80.19 = 26.40/x
  3. Step 3: Cross multiply
    53.52x = 80.19 × 26.40
  4. Step 4: Simplify right side
    53.52x = 2,117.02
  5. Step 5: Solve for x
    x = 2,117.02/53.52
  6. Step 6: Final answer
    x = 39.56

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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.