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Finding the Fourth Proportional to 96.97, 133.59 and 75.10

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Solution

The fourth proportional to 96.97, 133.59 and 75.10 is: 103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.97 : 133.59 = 75.10 : x
  2. Step 2: Convert to fraction form
    96.97/133.59 = 75.10/x
  3. Step 3: Cross multiply
    96.97x = 133.59 × 75.10
  4. Step 4: Simplify right side
    96.97x = 10,032.61
  5. Step 5: Solve for x
    x = 10,032.61/96.97
  6. Step 6: Final answer
    x = 103.46

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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.