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Finding the Fourth Proportional to 82.34, 124.01 and 80.29

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Solution

The fourth proportional to 82.34, 124.01 and 80.29 is: 120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.34 : 124.01 = 80.29 : x
  2. Step 2: Convert to fraction form
    82.34/124.01 = 80.29/x
  3. Step 3: Cross multiply
    82.34x = 124.01 × 80.29
  4. Step 4: Simplify right side
    82.34x = 9,956.27
  5. Step 5: Solve for x
    x = 9,956.27/82.34
  6. Step 6: Final answer
    x = 120.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.