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Finding the Fourth Proportional to 136.72, 205.11 and 59.65

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Solution

The fourth proportional to 136.72, 205.11 and 59.65 is: 89.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.72 : 205.11 = 59.65 : x
  2. Step 2: Convert to fraction form
    136.72/205.11 = 59.65/x
  3. Step 3: Cross multiply
    136.72x = 205.11 × 59.65
  4. Step 4: Simplify right side
    136.72x = 12,234.81
  5. Step 5: Solve for x
    x = 12,234.81/136.72
  6. Step 6: Final answer
    x = 89.49

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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.