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Finding the Fourth Proportional to 96.49, 133.14 and 59.65

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Solution

The fourth proportional to 96.49, 133.14 and 59.65 is: 82.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.49 : 133.14 = 59.65 : x
  2. Step 2: Convert to fraction form
    96.49/133.14 = 59.65/x
  3. Step 3: Cross multiply
    96.49x = 133.14 × 59.65
  4. Step 4: Simplify right side
    96.49x = 7,941.80
  5. Step 5: Solve for x
    x = 7,941.80/96.49
  6. Step 6: Final answer
    x = 82.31

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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.