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Finding the Fourth Proportional to 100.66, 151.07 and 86.31

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Solution

The fourth proportional to 100.66, 151.07 and 86.31 is: 129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.66 : 151.07 = 86.31 : x
  2. Step 2: Convert to fraction form
    100.66/151.07 = 86.31/x
  3. Step 3: Cross multiply
    100.66x = 151.07 × 86.31
  4. Step 4: Simplify right side
    100.66x = 13,038.85
  5. Step 5: Solve for x
    x = 13,038.85/100.66
  6. Step 6: Final answer
    x = 129.53

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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.