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Finding the Fourth Proportional to 94.24, 130.03 and 70.92

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Solution

The fourth proportional to 94.24, 130.03 and 70.92 is: 97.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.24 : 130.03 = 70.92 : x
  2. Step 2: Convert to fraction form
    94.24/130.03 = 70.92/x
  3. Step 3: Cross multiply
    94.24x = 130.03 × 70.92
  4. Step 4: Simplify right side
    94.24x = 9,221.73
  5. Step 5: Solve for x
    x = 9,221.73/94.24
  6. Step 6: Final answer
    x = 97.85

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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.