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Finding the Fourth Proportional to 123.62, 170.59 and 81.56

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Solution

The fourth proportional to 123.62, 170.59 and 81.56 is: 112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.62 : 170.59 = 81.56 : x
  2. Step 2: Convert to fraction form
    123.62/170.59 = 81.56/x
  3. Step 3: Cross multiply
    123.62x = 170.59 × 81.56
  4. Step 4: Simplify right side
    123.62x = 13,913.10
  5. Step 5: Solve for x
    x = 13,913.10/123.62
  6. Step 6: Final answer
    x = 112.55

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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.