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Finding the Fourth Proportional to 138.76, 208.15 and 47.57

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Solution

The fourth proportional to 138.76, 208.15 and 47.57 is: 71.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.76 : 208.15 = 47.57 : x
  2. Step 2: Convert to fraction form
    138.76/208.15 = 47.57/x
  3. Step 3: Cross multiply
    138.76x = 208.15 × 47.57
  4. Step 4: Simplify right side
    138.76x = 9,900.54
  5. Step 5: Solve for x
    x = 9,900.54/138.76
  6. Step 6: Final answer
    x = 71.35

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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.