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Finding the Fourth Proportional to 138.71, 208.14 and 57.53

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Solution

The fourth proportional to 138.71, 208.14 and 57.53 is: 86.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.71 : 208.14 = 57.53 : x
  2. Step 2: Convert to fraction form
    138.71/208.14 = 57.53/x
  3. Step 3: Cross multiply
    138.71x = 208.14 × 57.53
  4. Step 4: Simplify right side
    138.71x = 11,974.29
  5. Step 5: Solve for x
    x = 11,974.29/138.71
  6. Step 6: Final answer
    x = 86.33

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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.