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Finding the Fourth Proportional to 110.80, 151.92 and 102.80

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Solution

The fourth proportional to 110.80, 151.92 and 102.80 is: 140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.80 : 151.92 = 102.80 : x
  2. Step 2: Convert to fraction form
    110.80/151.92 = 102.80/x
  3. Step 3: Cross multiply
    110.80x = 151.92 × 102.80
  4. Step 4: Simplify right side
    110.80x = 15,617.47
  5. Step 5: Solve for x
    x = 15,617.47/110.80
  6. Step 6: Final answer
    x = 140.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.