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Finding the Fourth Proportional to 87.52, 120.74 and 53

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Solution

The fourth proportional to 87.52, 120.74 and 53 is: 73.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.52 : 120.74 = 53 : x
  2. Step 2: Convert to fraction form
    87.52/120.74 = 53/x
  3. Step 3: Cross multiply
    87.52x = 120.74 × 53
  4. Step 4: Simplify right side
    87.52x = 6,399.22
  5. Step 5: Solve for x
    x = 6,399.22/87.52
  6. Step 6: Final answer
    x = 73.12

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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.