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Finding the Fourth Proportional to 123.60, 170.56 and 77.02

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Solution

The fourth proportional to 123.60, 170.56 and 77.02 is: 106.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.60 : 170.56 = 77.02 : x
  2. Step 2: Convert to fraction form
    123.60/170.56 = 77.02/x
  3. Step 3: Cross multiply
    123.60x = 170.56 × 77.02
  4. Step 4: Simplify right side
    123.60x = 13,136.73
  5. Step 5: Solve for x
    x = 13,136.73/123.60
  6. Step 6: Final answer
    x = 106.29

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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.