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Finding the Fourth Proportional to 138.72, 208.14 and 47.46

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Solution

The fourth proportional to 138.72, 208.14 and 47.46 is: 71.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.72 : 208.14 = 47.46 : x
  2. Step 2: Convert to fraction form
    138.72/208.14 = 47.46/x
  3. Step 3: Cross multiply
    138.72x = 208.14 × 47.46
  4. Step 4: Simplify right side
    138.72x = 9,878.32
  5. Step 5: Solve for x
    x = 9,878.32/138.72
  6. Step 6: Final answer
    x = 71.21

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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.