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Finding the Fourth Proportional to 83, 124.44 and 71

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Solution

The fourth proportional to 83, 124.44 and 71 is: 106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83 : 124.44 = 71 : x
  2. Step 2: Convert to fraction form
    83/124.44 = 71/x
  3. Step 3: Cross multiply
    83x = 124.44 × 71
  4. Step 4: Simplify right side
    83x = 8,835.24
  5. Step 5: Solve for x
    x = 8,835.24/83
  6. Step 6: Final answer
    x = 106.45

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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.