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Finding the Fourth Proportional to 111.42, 153.43 and 102.71

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Solution

The fourth proportional to 111.42, 153.43 and 102.71 is: 141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.42 : 153.43 = 102.71 : x
  2. Step 2: Convert to fraction form
    111.42/153.43 = 102.71/x
  3. Step 3: Cross multiply
    111.42x = 153.43 × 102.71
  4. Step 4: Simplify right side
    111.42x = 15,758.92
  5. Step 5: Solve for x
    x = 15,758.92/111.42
  6. Step 6: Final answer
    x = 141.44

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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.