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Finding the Fourth Proportional to 123.91, 171.17 and 109.14

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Solution

The fourth proportional to 123.91, 171.17 and 109.14 is: 150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.91 : 171.17 = 109.14 : x
  2. Step 2: Convert to fraction form
    123.91/171.17 = 109.14/x
  3. Step 3: Cross multiply
    123.91x = 171.17 × 109.14
  4. Step 4: Simplify right side
    123.91x = 18,681.49
  5. Step 5: Solve for x
    x = 18,681.49/123.91
  6. Step 6: Final answer
    x = 150.77

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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.