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Finding the Fourth Proportional to 99.82, 137.76 and 58.37

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Solution

The fourth proportional to 99.82, 137.76 and 58.37 is: 80.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.82 : 137.76 = 58.37 : x
  2. Step 2: Convert to fraction form
    99.82/137.76 = 58.37/x
  3. Step 3: Cross multiply
    99.82x = 137.76 × 58.37
  4. Step 4: Simplify right side
    99.82x = 8,040.92
  5. Step 5: Solve for x
    x = 8,040.92/99.82
  6. Step 6: Final answer
    x = 80.55

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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.