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Finding the Fourth Proportional to 83.50, 114.96 and 75.32

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Solution

The fourth proportional to 83.50, 114.96 and 75.32 is: 103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.50 : 114.96 = 75.32 : x
  2. Step 2: Convert to fraction form
    83.50/114.96 = 75.32/x
  3. Step 3: Cross multiply
    83.50x = 114.96 × 75.32
  4. Step 4: Simplify right side
    83.50x = 8,658.79
  5. Step 5: Solve for x
    x = 8,658.79/83.50
  6. Step 6: Final answer
    x = 103.70

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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.