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Finding the Fourth Proportional to 83.23, 124.71 and 65.91

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Solution

The fourth proportional to 83.23, 124.71 and 65.91 is: 98.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.23 : 124.71 = 65.91 : x
  2. Step 2: Convert to fraction form
    83.23/124.71 = 65.91/x
  3. Step 3: Cross multiply
    83.23x = 124.71 × 65.91
  4. Step 4: Simplify right side
    83.23x = 8,220.41
  5. Step 5: Solve for x
    x = 8,220.41/83.23
  6. Step 6: Final answer
    x = 98.77

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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.