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Finding the Fourth Proportional to 136.78, 205.26 and 59.83

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Solution

The fourth proportional to 136.78, 205.26 and 59.83 is: 89.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.78 : 205.26 = 59.83 : x
  2. Step 2: Convert to fraction form
    136.78/205.26 = 59.83/x
  3. Step 3: Cross multiply
    136.78x = 205.26 × 59.83
  4. Step 4: Simplify right side
    136.78x = 12,280.71
  5. Step 5: Solve for x
    x = 12,280.71/136.78
  6. Step 6: Final answer
    x = 89.78

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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.