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Finding the Fourth Proportional to 97.62, 133.86 and 94.19

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Solution

The fourth proportional to 97.62, 133.86 and 94.19 is: 129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.62 : 133.86 = 94.19 : x
  2. Step 2: Convert to fraction form
    97.62/133.86 = 94.19/x
  3. Step 3: Cross multiply
    97.62x = 133.86 × 94.19
  4. Step 4: Simplify right side
    97.62x = 12,607.60
  5. Step 5: Solve for x
    x = 12,607.60/97.62
  6. Step 6: Final answer
    x = 129.15

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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.