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Finding the Fourth Proportional to 82.96, 124.36 and 69.46

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Solution

The fourth proportional to 82.96, 124.36 and 69.46 is: 104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.96 : 124.36 = 69.46 : x
  2. Step 2: Convert to fraction form
    82.96/124.36 = 69.46/x
  3. Step 3: Cross multiply
    82.96x = 124.36 × 69.46
  4. Step 4: Simplify right side
    82.96x = 8,638.05
  5. Step 5: Solve for x
    x = 8,638.05/82.96
  6. Step 6: Final answer
    x = 104.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.