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Finding the Fourth Proportional to 96.69, 133.14 and 90.92

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Solution

The fourth proportional to 96.69, 133.14 and 90.92 is: 125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.69 : 133.14 = 90.92 : x
  2. Step 2: Convert to fraction form
    96.69/133.14 = 90.92/x
  3. Step 3: Cross multiply
    96.69x = 133.14 × 90.92
  4. Step 4: Simplify right side
    96.69x = 12,105.76
  5. Step 5: Solve for x
    x = 12,105.76/96.69
  6. Step 6: Final answer
    x = 125.20

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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.