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Finding the Fourth Proportional to 123.72, 170.82 and 99.18

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Solution

The fourth proportional to 123.72, 170.82 and 99.18 is: 136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.72 : 170.82 = 99.18 : x
  2. Step 2: Convert to fraction form
    123.72/170.82 = 99.18/x
  3. Step 3: Cross multiply
    123.72x = 170.82 × 99.18
  4. Step 4: Simplify right side
    123.72x = 16,941.93
  5. Step 5: Solve for x
    x = 16,941.93/123.72
  6. Step 6: Final answer
    x = 136.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.