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Finding the Fourth Proportional to 76.71, 115.05 and 40.11

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Solution

The fourth proportional to 76.71, 115.05 and 40.11 is: 60.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.71 : 115.05 = 40.11 : x
  2. Step 2: Convert to fraction form
    76.71/115.05 = 40.11/x
  3. Step 3: Cross multiply
    76.71x = 115.05 × 40.11
  4. Step 4: Simplify right side
    76.71x = 4,614.66
  5. Step 5: Solve for x
    x = 4,614.66/76.71
  6. Step 6: Final answer
    x = 60.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.