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Finding the Fourth Proportional to 123.17, 169.89 and 71.42

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Solution

The fourth proportional to 123.17, 169.89 and 71.42 is: 98.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.17 : 169.89 = 71.42 : x
  2. Step 2: Convert to fraction form
    123.17/169.89 = 71.42/x
  3. Step 3: Cross multiply
    123.17x = 169.89 × 71.42
  4. Step 4: Simplify right side
    123.17x = 12,133.54
  5. Step 5: Solve for x
    x = 12,133.54/123.17
  6. Step 6: Final answer
    x = 98.51

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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.