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Finding the Fourth Proportional to 97.29, 133.66 and 96.68

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Solution

The fourth proportional to 97.29, 133.66 and 96.68 is: 132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.29 : 133.66 = 96.68 : x
  2. Step 2: Convert to fraction form
    97.29/133.66 = 96.68/x
  3. Step 3: Cross multiply
    97.29x = 133.66 × 96.68
  4. Step 4: Simplify right side
    97.29x = 12,922.25
  5. Step 5: Solve for x
    x = 12,922.25/97.29
  6. Step 6: Final answer
    x = 132.82

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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.