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Finding the Fourth Proportional to 100.66, 151.02 and 80.56

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Solution

The fourth proportional to 100.66, 151.02 and 80.56 is: 120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.66 : 151.02 = 80.56 : x
  2. Step 2: Convert to fraction form
    100.66/151.02 = 80.56/x
  3. Step 3: Cross multiply
    100.66x = 151.02 × 80.56
  4. Step 4: Simplify right side
    100.66x = 12,166.17
  5. Step 5: Solve for x
    x = 12,166.17/100.66
  6. Step 6: Final answer
    x = 120.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.