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Finding the Fourth Proportional to 123.62, 170.62 and 71.88

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Solution

The fourth proportional to 123.62, 170.62 and 71.88 is: 99.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.62 : 170.62 = 71.88 : x
  2. Step 2: Convert to fraction form
    123.62/170.62 = 71.88/x
  3. Step 3: Cross multiply
    123.62x = 170.62 × 71.88
  4. Step 4: Simplify right side
    123.62x = 12,264.17
  5. Step 5: Solve for x
    x = 12,264.17/123.62
  6. Step 6: Final answer
    x = 99.21

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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.