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Finding the Fourth Proportional to 99.48, 149.28 and 53.82

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Solution

The fourth proportional to 99.48, 149.28 and 53.82 is: 80.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.48 : 149.28 = 53.82 : x
  2. Step 2: Convert to fraction form
    99.48/149.28 = 53.82/x
  3. Step 3: Cross multiply
    99.48x = 149.28 × 53.82
  4. Step 4: Simplify right side
    99.48x = 8,034.25
  5. Step 5: Solve for x
    x = 8,034.25/99.48
  6. Step 6: Final answer
    x = 80.76

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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.