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Finding the Fourth Proportional to 97.41, 134.10 and 76.62

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Solution

The fourth proportional to 97.41, 134.10 and 76.62 is: 105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.41 : 134.10 = 76.62 : x
  2. Step 2: Convert to fraction form
    97.41/134.10 = 76.62/x
  3. Step 3: Cross multiply
    97.41x = 134.10 × 76.62
  4. Step 4: Simplify right side
    97.41x = 10,274.74
  5. Step 5: Solve for x
    x = 10,274.74/97.41
  6. Step 6: Final answer
    x = 105.48

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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.