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Finding the Fourth Proportional to 62.82, 86.74 and 42.10

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Solution

The fourth proportional to 62.82, 86.74 and 42.10 is: 58.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.82 : 86.74 = 42.10 : x
  2. Step 2: Convert to fraction form
    62.82/86.74 = 42.10/x
  3. Step 3: Cross multiply
    62.82x = 86.74 × 42.10
  4. Step 4: Simplify right side
    62.82x = 3,651.75
  5. Step 5: Solve for x
    x = 3,651.75/62.82
  6. Step 6: Final answer
    x = 58.13

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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.