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Finding the Fourth Proportional to 86.40, 129.76 and 77.12

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Solution

The fourth proportional to 86.40, 129.76 and 77.12 is: 115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.40 : 129.76 = 77.12 : x
  2. Step 2: Convert to fraction form
    86.40/129.76 = 77.12/x
  3. Step 3: Cross multiply
    86.40x = 129.76 × 77.12
  4. Step 4: Simplify right side
    86.40x = 10,007.09
  5. Step 5: Solve for x
    x = 10,007.09/86.40
  6. Step 6: Final answer
    x = 115.82

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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.