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Finding the Fourth Proportional to 86.46, 129.12 and 83.52

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Solution

The fourth proportional to 86.46, 129.12 and 83.52 is: 124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.46 : 129.12 = 83.52 : x
  2. Step 2: Convert to fraction form
    86.46/129.12 = 83.52/x
  3. Step 3: Cross multiply
    86.46x = 129.12 × 83.52
  4. Step 4: Simplify right side
    86.46x = 10,784.10
  5. Step 5: Solve for x
    x = 10,784.10/86.46
  6. Step 6: Final answer
    x = 124.73

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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.