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Finding the Fourth Proportional to 136.32, 188.16 and 110.72

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Solution

The fourth proportional to 136.32, 188.16 and 110.72 is: 152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.32 : 188.16 = 110.72 : x
  2. Step 2: Convert to fraction form
    136.32/188.16 = 110.72/x
  3. Step 3: Cross multiply
    136.32x = 188.16 × 110.72
  4. Step 4: Simplify right side
    136.32x = 20,833.08
  5. Step 5: Solve for x
    x = 20,833.08/136.32
  6. Step 6: Final answer
    x = 152.82

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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.