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Finding the Fourth Proportional to 76.07, 113.57 and 63.92

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Solution

The fourth proportional to 76.07, 113.57 and 63.92 is: 95.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.07 : 113.57 = 63.92 : x
  2. Step 2: Convert to fraction form
    76.07/113.57 = 63.92/x
  3. Step 3: Cross multiply
    76.07x = 113.57 × 63.92
  4. Step 4: Simplify right side
    76.07x = 7,258.51
  5. Step 5: Solve for x
    x = 7,258.51/76.07
  6. Step 6: Final answer
    x = 95.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.