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Finding the Fourth Proportional to 76.64, 114.96 and 63.14

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Solution

The fourth proportional to 76.64, 114.96 and 63.14 is: 94.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.64 : 114.96 = 63.14 : x
  2. Step 2: Convert to fraction form
    76.64/114.96 = 63.14/x
  3. Step 3: Cross multiply
    76.64x = 114.96 × 63.14
  4. Step 4: Simplify right side
    76.64x = 7,258.57
  5. Step 5: Solve for x
    x = 7,258.57/76.64
  6. Step 6: Final answer
    x = 94.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.