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Finding the Fourth Proportional to 99.69, 137.87 and 87.39

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Solution

The fourth proportional to 99.69, 137.87 and 87.39 is: 120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.69 : 137.87 = 87.39 : x
  2. Step 2: Convert to fraction form
    99.69/137.87 = 87.39/x
  3. Step 3: Cross multiply
    99.69x = 137.87 × 87.39
  4. Step 4: Simplify right side
    99.69x = 12,048.46
  5. Step 5: Solve for x
    x = 12,048.46/99.69
  6. Step 6: Final answer
    x = 120.86

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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.