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Finding the Fourth Proportional to 136.72, 206.08 and 128.24

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Solution

The fourth proportional to 136.72, 206.08 and 128.24 is: 193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.72 : 206.08 = 128.24 : x
  2. Step 2: Convert to fraction form
    136.72/206.08 = 128.24/x
  3. Step 3: Cross multiply
    136.72x = 206.08 × 128.24
  4. Step 4: Simplify right side
    136.72x = 26,427.70
  5. Step 5: Solve for x
    x = 26,427.70/136.72
  6. Step 6: Final answer
    x = 193.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.