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Finding the Fourth Proportional to 53.52, 73.85 and 37.14

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Solution

The fourth proportional to 53.52, 73.85 and 37.14 is: 51.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.52 : 73.85 = 37.14 : x
  2. Step 2: Convert to fraction form
    53.52/73.85 = 37.14/x
  3. Step 3: Cross multiply
    53.52x = 73.85 × 37.14
  4. Step 4: Simplify right side
    53.52x = 2,742.60
  5. Step 5: Solve for x
    x = 2,742.60/53.52
  6. Step 6: Final answer
    x = 51.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.