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Finding the Fourth Proportional to 99.92, 149.25 and 94.76

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Solution

The fourth proportional to 99.92, 149.25 and 94.76 is: 141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.92 : 149.25 = 94.76 : x
  2. Step 2: Convert to fraction form
    99.92/149.25 = 94.76/x
  3. Step 3: Cross multiply
    99.92x = 149.25 × 94.76
  4. Step 4: Simplify right side
    99.92x = 14,142.18
  5. Step 5: Solve for x
    x = 14,142.18/99.92
  6. Step 6: Final answer
    x = 141.54

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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.