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Finding the Fourth Proportional to 136.30, 188.16 and 108.64

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Solution

The fourth proportional to 136.30, 188.16 and 108.64 is: 149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.30 : 188.16 = 108.64 : x
  2. Step 2: Convert to fraction form
    136.30/188.16 = 108.64/x
  3. Step 3: Cross multiply
    136.30x = 188.16 × 108.64
  4. Step 4: Simplify right side
    136.30x = 20,441.70
  5. Step 5: Solve for x
    x = 20,441.70/136.30
  6. Step 6: Final answer
    x = 149.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.