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Finding the Fourth Proportional to 83.16, 124.02 and 71.05

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Solution

The fourth proportional to 83.16, 124.02 and 71.05 is: 105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.16 : 124.02 = 71.05 : x
  2. Step 2: Convert to fraction form
    83.16/124.02 = 71.05/x
  3. Step 3: Cross multiply
    83.16x = 124.02 × 71.05
  4. Step 4: Simplify right side
    83.16x = 8,811.62
  5. Step 5: Solve for x
    x = 8,811.62/83.16
  6. Step 6: Final answer
    x = 105.96

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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.