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Finding the Fourth Proportional to 83.14, 124.71 and 77.08

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Solution

The fourth proportional to 83.14, 124.71 and 77.08 is: 115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.14 : 124.71 = 77.08 : x
  2. Step 2: Convert to fraction form
    83.14/124.71 = 77.08/x
  3. Step 3: Cross multiply
    83.14x = 124.71 × 77.08
  4. Step 4: Simplify right side
    83.14x = 9,612.65
  5. Step 5: Solve for x
    x = 9,612.65/83.14
  6. Step 6: Final answer
    x = 115.62

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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.