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Finding the Fourth Proportional to 136.95, 205.42 and 45.65

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Solution

The fourth proportional to 136.95, 205.42 and 45.65 is: 68.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.95 : 205.42 = 45.65 : x
  2. Step 2: Convert to fraction form
    136.95/205.42 = 45.65/x
  3. Step 3: Cross multiply
    136.95x = 205.42 × 45.65
  4. Step 4: Simplify right side
    136.95x = 9,377.42
  5. Step 5: Solve for x
    x = 9,377.42/136.95
  6. Step 6: Final answer
    x = 68.47

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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.