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Finding the Fourth Proportional to 96.90, 133.92 and 77.46

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Solution

The fourth proportional to 96.90, 133.92 and 77.46 is: 107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.90 : 133.92 = 77.46 : x
  2. Step 2: Convert to fraction form
    96.90/133.92 = 77.46/x
  3. Step 3: Cross multiply
    96.90x = 133.92 × 77.46
  4. Step 4: Simplify right side
    96.90x = 10,373.44
  5. Step 5: Solve for x
    x = 10,373.44/96.90
  6. Step 6: Final answer
    x = 107.05

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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.