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Finding the Fourth Proportional to 82.71, 114.20 and 62.06

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Solution

The fourth proportional to 82.71, 114.20 and 62.06 is: 85.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.71 : 114.20 = 62.06 : x
  2. Step 2: Convert to fraction form
    82.71/114.20 = 62.06/x
  3. Step 3: Cross multiply
    82.71x = 114.20 × 62.06
  4. Step 4: Simplify right side
    82.71x = 7,086.37
  5. Step 5: Solve for x
    x = 7,086.37/82.71
  6. Step 6: Final answer
    x = 85.68

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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.