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Finding the Fourth Proportional to 136.96, 205.86 and 89.20

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Solution

The fourth proportional to 136.96, 205.86 and 89.20 is: 134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.96 : 205.86 = 89.20 : x
  2. Step 2: Convert to fraction form
    136.96/205.86 = 89.20/x
  3. Step 3: Cross multiply
    136.96x = 205.86 × 89.20
  4. Step 4: Simplify right side
    136.96x = 18,362.71
  5. Step 5: Solve for x
    x = 18,362.71/136.96
  6. Step 6: Final answer
    x = 134.07

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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.