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Finding the Fourth Proportional to 97.66, 134.63 and 76.87

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Solution

The fourth proportional to 97.66, 134.63 and 76.87 is: 105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.66 : 134.63 = 76.87 : x
  2. Step 2: Convert to fraction form
    97.66/134.63 = 76.87/x
  3. Step 3: Cross multiply
    97.66x = 134.63 × 76.87
  4. Step 4: Simplify right side
    97.66x = 10,349.08
  5. Step 5: Solve for x
    x = 10,349.08/97.66
  6. Step 6: Final answer
    x = 105.97

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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.