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Finding the Fourth Proportional to 82.42, 123.62 and 31.04

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Solution

The fourth proportional to 82.42, 123.62 and 31.04 is: 46.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.42 : 123.62 = 31.04 : x
  2. Step 2: Convert to fraction form
    82.42/123.62 = 31.04/x
  3. Step 3: Cross multiply
    82.42x = 123.62 × 31.04
  4. Step 4: Simplify right side
    82.42x = 3,837.24
  5. Step 5: Solve for x
    x = 3,837.24/82.42
  6. Step 6: Final answer
    x = 46.56

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Why These Related Problems?

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