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Finding the Fourth Proportional to 97.28, 133.22 and 96.72

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Solution

The fourth proportional to 97.28, 133.22 and 96.72 is: 132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.28 : 133.22 = 96.72 : x
  2. Step 2: Convert to fraction form
    97.28/133.22 = 96.72/x
  3. Step 3: Cross multiply
    97.28x = 133.22 × 96.72
  4. Step 4: Simplify right side
    97.28x = 12,885.04
  5. Step 5: Solve for x
    x = 12,885.04/97.28
  6. Step 6: Final answer
    x = 132.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.