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Finding the Fourth Proportional to 136.35, 204.57 and 110.88

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Solution

The fourth proportional to 136.35, 204.57 and 110.88 is: 166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.35 : 204.57 = 110.88 : x
  2. Step 2: Convert to fraction form
    136.35/204.57 = 110.88/x
  3. Step 3: Cross multiply
    136.35x = 204.57 × 110.88
  4. Step 4: Simplify right side
    136.35x = 22,682.72
  5. Step 5: Solve for x
    x = 22,682.72/136.35
  6. Step 6: Final answer
    x = 166.36

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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.