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Finding the Fourth Proportional to 52.68, 72.71 and 37.14

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Solution

The fourth proportional to 52.68, 72.71 and 37.14 is: 51.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.68 : 72.71 = 37.14 : x
  2. Step 2: Convert to fraction form
    52.68/72.71 = 37.14/x
  3. Step 3: Cross multiply
    52.68x = 72.71 × 37.14
  4. Step 4: Simplify right side
    52.68x = 2,700.45
  5. Step 5: Solve for x
    x = 2,700.45/52.68
  6. Step 6: Final answer
    x = 51.26

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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.