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Finding the Fourth Proportional to 82.78, 124.06 and 31.37

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Solution

The fourth proportional to 82.78, 124.06 and 31.37 is: 47.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.78 : 124.06 = 31.37 : x
  2. Step 2: Convert to fraction form
    82.78/124.06 = 31.37/x
  3. Step 3: Cross multiply
    82.78x = 124.06 × 31.37
  4. Step 4: Simplify right side
    82.78x = 3,891.76
  5. Step 5: Solve for x
    x = 3,891.76/82.78
  6. Step 6: Final answer
    x = 47.01

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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.