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Finding the Fourth Proportional to 111.82, 154.31 and 62.71

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Solution

The fourth proportional to 111.82, 154.31 and 62.71 is: 86.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.82 : 154.31 = 62.71 : x
  2. Step 2: Convert to fraction form
    111.82/154.31 = 62.71/x
  3. Step 3: Cross multiply
    111.82x = 154.31 × 62.71
  4. Step 4: Simplify right side
    111.82x = 9,676.17
  5. Step 5: Solve for x
    x = 9,676.17/111.82
  6. Step 6: Final answer
    x = 86.53

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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.