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Finding the Fourth Proportional to 96.46, 133.14 and 77.08

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Solution

The fourth proportional to 96.46, 133.14 and 77.08 is: 106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.46 : 133.14 = 77.08 : x
  2. Step 2: Convert to fraction form
    96.46/133.14 = 77.08/x
  3. Step 3: Cross multiply
    96.46x = 133.14 × 77.08
  4. Step 4: Simplify right side
    96.46x = 10,262.43
  5. Step 5: Solve for x
    x = 10,262.43/96.46
  6. Step 6: Final answer
    x = 106.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.