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Finding the Fourth Proportional to 137.62, 206.34 and 69.10

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Solution

The fourth proportional to 137.62, 206.34 and 69.10 is: 103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.62 : 206.34 = 69.10 : x
  2. Step 2: Convert to fraction form
    137.62/206.34 = 69.10/x
  3. Step 3: Cross multiply
    137.62x = 206.34 × 69.10
  4. Step 4: Simplify right side
    137.62x = 14,257.75
  5. Step 5: Solve for x
    x = 14,257.75/137.62
  6. Step 6: Final answer
    x = 103.61

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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.