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Finding the Fourth Proportional to 136.59, 204.84 and 45.27

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Solution

The fourth proportional to 136.59, 204.84 and 45.27 is: 67.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.59 : 204.84 = 45.27 : x
  2. Step 2: Convert to fraction form
    136.59/204.84 = 45.27/x
  3. Step 3: Cross multiply
    136.59x = 204.84 × 45.27
  4. Step 4: Simplify right side
    136.59x = 9,271.86
  5. Step 5: Solve for x
    x = 9,271.86/136.59
  6. Step 6: Final answer
    x = 67.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.