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Finding the Fourth Proportional to 96.91, 133.65 and 69.30

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Solution

The fourth proportional to 96.91, 133.65 and 69.30 is: 95.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.91 : 133.65 = 69.30 : x
  2. Step 2: Convert to fraction form
    96.91/133.65 = 69.30/x
  3. Step 3: Cross multiply
    96.91x = 133.65 × 69.30
  4. Step 4: Simplify right side
    96.91x = 9,261.95
  5. Step 5: Solve for x
    x = 9,261.95/96.91
  6. Step 6: Final answer
    x = 95.57

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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.