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Finding the Fourth Proportional to 97.18, 134.13 and 76.62

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Solution

The fourth proportional to 97.18, 134.13 and 76.62 is: 105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.18 : 134.13 = 76.62 : x
  2. Step 2: Convert to fraction form
    97.18/134.13 = 76.62/x
  3. Step 3: Cross multiply
    97.18x = 134.13 × 76.62
  4. Step 4: Simplify right side
    97.18x = 10,277.24
  5. Step 5: Solve for x
    x = 10,277.24/97.18
  6. Step 6: Final answer
    x = 105.75

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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.