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Finding the Fourth Proportional to 111.42, 153.69 and 67.14

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Solution

The fourth proportional to 111.42, 153.69 and 67.14 is: 92.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.42 : 153.69 = 67.14 : x
  2. Step 2: Convert to fraction form
    111.42/153.69 = 67.14/x
  3. Step 3: Cross multiply
    111.42x = 153.69 × 67.14
  4. Step 4: Simplify right side
    111.42x = 10,318.75
  5. Step 5: Solve for x
    x = 10,318.75/111.42
  6. Step 6: Final answer
    x = 92.61

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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.