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Finding the Fourth Proportional to 62.82, 86.58 and 42.06

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Solution

The fourth proportional to 62.82, 86.58 and 42.06 is: 57.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.82 : 86.58 = 42.06 : x
  2. Step 2: Convert to fraction form
    62.82/86.58 = 42.06/x
  3. Step 3: Cross multiply
    62.82x = 86.58 × 42.06
  4. Step 4: Simplify right side
    62.82x = 3,641.55
  5. Step 5: Solve for x
    x = 3,641.55/62.82
  6. Step 6: Final answer
    x = 57.97

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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.