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Finding the Fourth Proportional to 83.49, 124.66 and 71.34

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Solution

The fourth proportional to 83.49, 124.66 and 71.34 is: 106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.49 : 124.66 = 71.34 : x
  2. Step 2: Convert to fraction form
    83.49/124.66 = 71.34/x
  3. Step 3: Cross multiply
    83.49x = 124.66 × 71.34
  4. Step 4: Simplify right side
    83.49x = 8,893.24
  5. Step 5: Solve for x
    x = 8,893.24/83.49
  6. Step 6: Final answer
    x = 106.52

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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.