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Finding the Fourth Proportional to 138.83, 208.02 and 47.48

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Solution

The fourth proportional to 138.83, 208.02 and 47.48 is: 71.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.83 : 208.02 = 47.48 : x
  2. Step 2: Convert to fraction form
    138.83/208.02 = 47.48/x
  3. Step 3: Cross multiply
    138.83x = 208.02 × 47.48
  4. Step 4: Simplify right side
    138.83x = 9,876.49
  5. Step 5: Solve for x
    x = 9,876.49/138.83
  6. Step 6: Final answer
    x = 71.14

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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.