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Finding the Fourth Proportional to 96.89, 133.62 and 75.02

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Solution

The fourth proportional to 96.89, 133.62 and 75.02 is: 103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.89 : 133.62 = 75.02 : x
  2. Step 2: Convert to fraction form
    96.89/133.62 = 75.02/x
  3. Step 3: Cross multiply
    96.89x = 133.62 × 75.02
  4. Step 4: Simplify right side
    96.89x = 10,024.17
  5. Step 5: Solve for x
    x = 10,024.17/96.89
  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.