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Finding the Fourth Proportional to 83.57, 114.91 and 74.77

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Solution

The fourth proportional to 83.57, 114.91 and 74.77 is: 102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.57 : 114.91 = 74.77 : x
  2. Step 2: Convert to fraction form
    83.57/114.91 = 74.77/x
  3. Step 3: Cross multiply
    83.57x = 114.91 × 74.77
  4. Step 4: Simplify right side
    83.57x = 8,591.35
  5. Step 5: Solve for x
    x = 8,591.35/83.57
  6. Step 6: Final answer
    x = 102.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.