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Finding the Fourth Proportional to 138.89, 208.29 and 100.25

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Solution

The fourth proportional to 138.89, 208.29 and 100.25 is: 150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.89 : 208.29 = 100.25 : x
  2. Step 2: Convert to fraction form
    138.89/208.29 = 100.25/x
  3. Step 3: Cross multiply
    138.89x = 208.29 × 100.25
  4. Step 4: Simplify right side
    138.89x = 20,881.80
  5. Step 5: Solve for x
    x = 20,881.80/138.89
  6. Step 6: Final answer
    x = 150.35

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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.