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Finding the Fourth Proportional to 110.27, 151.66 and 96.47

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Solution

The fourth proportional to 110.27, 151.66 and 96.47 is: 132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.27 : 151.66 = 96.47 : x
  2. Step 2: Convert to fraction form
    110.27/151.66 = 96.47/x
  3. Step 3: Cross multiply
    110.27x = 151.66 × 96.47
  4. Step 4: Simplify right side
    110.27x = 14,630.64
  5. Step 5: Solve for x
    x = 14,630.64/110.27
  6. Step 6: Final answer
    x = 132.68

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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.