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Finding the Fourth Proportional to 83.59, 125.16 and 63.16

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Solution

The fourth proportional to 83.59, 125.16 and 63.16 is: 94.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.59 : 125.16 = 63.16 : x
  2. Step 2: Convert to fraction form
    83.59/125.16 = 63.16/x
  3. Step 3: Cross multiply
    83.59x = 125.16 × 63.16
  4. Step 4: Simplify right side
    83.59x = 7,905.11
  5. Step 5: Solve for x
    x = 7,905.11/83.59
  6. Step 6: Final answer
    x = 94.57

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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.