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Finding the Fourth Proportional to 82.91, 114.41 and 46.06

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Solution

The fourth proportional to 82.91, 114.41 and 46.06 is: 63.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.91 : 114.41 = 46.06 : x
  2. Step 2: Convert to fraction form
    82.91/114.41 = 46.06/x
  3. Step 3: Cross multiply
    82.91x = 114.41 × 46.06
  4. Step 4: Simplify right side
    82.91x = 5,269.55
  5. Step 5: Solve for x
    x = 5,269.55/82.91
  6. Step 6: Final answer
    x = 63.56

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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.