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Finding the Fourth Proportional to 86.58, 129.15 and 77.48

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Solution

The fourth proportional to 86.58, 129.15 and 77.48 is: 115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.58 : 129.15 = 77.48 : x
  2. Step 2: Convert to fraction form
    86.58/129.15 = 77.48/x
  3. Step 3: Cross multiply
    86.58x = 129.15 × 77.48
  4. Step 4: Simplify right side
    86.58x = 10,005.90
  5. Step 5: Solve for x
    x = 10,005.90/86.58
  6. Step 6: Final answer
    x = 115.57

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Why These Related Problems?

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