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Finding the Fourth Proportional to 82.42, 123.31 and 48.21

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Solution

The fourth proportional to 82.42, 123.31 and 48.21 is: 72.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.42 : 123.31 = 48.21 : x
  2. Step 2: Convert to fraction form
    82.42/123.31 = 48.21/x
  3. Step 3: Cross multiply
    82.42x = 123.31 × 48.21
  4. Step 4: Simplify right side
    82.42x = 5,944.78
  5. Step 5: Solve for x
    x = 5,944.78/82.42
  6. Step 6: Final answer
    x = 72.13

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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.