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Finding the Fourth Proportional to 99.35, 137.12 and 55.69

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Solution

The fourth proportional to 99.35, 137.12 and 55.69 is: 76.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.35 : 137.12 = 55.69 : x
  2. Step 2: Convert to fraction form
    99.35/137.12 = 55.69/x
  3. Step 3: Cross multiply
    99.35x = 137.12 × 55.69
  4. Step 4: Simplify right side
    99.35x = 7,635.75
  5. Step 5: Solve for x
    x = 7,635.75/99.35
  6. Step 6: Final answer
    x = 76.86

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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.