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Finding the Fourth Proportional to 77.29, 116.13 and 43.07

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Solution

The fourth proportional to 77.29, 116.13 and 43.07 is: 64.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.29 : 116.13 = 43.07 : x
  2. Step 2: Convert to fraction form
    77.29/116.13 = 43.07/x
  3. Step 3: Cross multiply
    77.29x = 116.13 × 43.07
  4. Step 4: Simplify right side
    77.29x = 5,001.30
  5. Step 5: Solve for x
    x = 5,001.30/77.29
  6. Step 6: Final answer
    x = 64.71

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Why These Related Problems?

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