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Finding the Fourth Proportional to 71.93, 107.50 and 52.71

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Solution

The fourth proportional to 71.93, 107.50 and 52.71 is: 78.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.93 : 107.50 = 52.71 : x
  2. Step 2: Convert to fraction form
    71.93/107.50 = 52.71/x
  3. Step 3: Cross multiply
    71.93x = 107.50 × 52.71
  4. Step 4: Simplify right side
    71.93x = 5,666.79
  5. Step 5: Solve for x
    x = 5,666.79/71.93
  6. Step 6: Final answer
    x = 78.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.