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Finding the Fourth Proportional to 82.84, 124.23 and 39.48

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Solution

The fourth proportional to 82.84, 124.23 and 39.48 is: 59.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.84 : 124.23 = 39.48 : x
  2. Step 2: Convert to fraction form
    82.84/124.23 = 39.48/x
  3. Step 3: Cross multiply
    82.84x = 124.23 × 39.48
  4. Step 4: Simplify right side
    82.84x = 4,905.01
  5. Step 5: Solve for x
    x = 4,905.01/82.84
  6. Step 6: Final answer
    x = 59.21

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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.