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Finding the Fourth Proportional to 97.42, 134.50 and 76.66

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Solution

The fourth proportional to 97.42, 134.50 and 76.66 is: 105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.42 : 134.50 = 76.66 : x
  2. Step 2: Convert to fraction form
    97.42/134.50 = 76.66/x
  3. Step 3: Cross multiply
    97.42x = 134.50 × 76.66
  4. Step 4: Simplify right side
    97.42x = 10,310.77
  5. Step 5: Solve for x
    x = 10,310.77/97.42
  6. Step 6: Final answer
    x = 105.84

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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.