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Finding the Fourth Proportional to 123.91, 171.03 and 71.49

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Solution

The fourth proportional to 123.91, 171.03 and 71.49 is: 98.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.91 : 171.03 = 71.49 : x
  2. Step 2: Convert to fraction form
    123.91/171.03 = 71.49/x
  3. Step 3: Cross multiply
    123.91x = 171.03 × 71.49
  4. Step 4: Simplify right side
    123.91x = 12,226.93
  5. Step 5: Solve for x
    x = 12,226.93/123.91
  6. Step 6: Final answer
    x = 98.68

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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.