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Finding the Fourth Proportional to 97.61, 133.65 and 96.46

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Solution

The fourth proportional to 97.61, 133.65 and 96.46 is: 132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.61 : 133.65 = 96.46 : x
  2. Step 2: Convert to fraction form
    97.61/133.65 = 96.46/x
  3. Step 3: Cross multiply
    97.61x = 133.65 × 96.46
  4. Step 4: Simplify right side
    97.61x = 12,891.54
  5. Step 5: Solve for x
    x = 12,891.54/97.61
  6. Step 6: Final answer
    x = 132.08

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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.