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Finding the Fourth Proportional to 52.71, 72.70 and 40.42

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Solution

The fourth proportional to 52.71, 72.70 and 40.42 is: 55.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.71 : 72.70 = 40.42 : x
  2. Step 2: Convert to fraction form
    52.71/72.70 = 40.42/x
  3. Step 3: Cross multiply
    52.71x = 72.70 × 40.42
  4. Step 4: Simplify right side
    52.71x = 2,938.53
  5. Step 5: Solve for x
    x = 2,938.53/52.71
  6. Step 6: Final answer
    x = 55.75

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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.