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Finding the Fourth Proportional to 111.31, 153.65 and 76.52

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Solution

The fourth proportional to 111.31, 153.65 and 76.52 is: 105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.31 : 153.65 = 76.52 : x
  2. Step 2: Convert to fraction form
    111.31/153.65 = 76.52/x
  3. Step 3: Cross multiply
    111.31x = 153.65 × 76.52
  4. Step 4: Simplify right side
    111.31x = 11,757.30
  5. Step 5: Solve for x
    x = 11,757.30/111.31
  6. Step 6: Final answer
    x = 105.63

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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.