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Finding the Fourth Proportional to 138.98, 208.14 and 108.47

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Solution

The fourth proportional to 138.98, 208.14 and 108.47 is: 162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.98 : 208.14 = 108.47 : x
  2. Step 2: Convert to fraction form
    138.98/208.14 = 108.47/x
  3. Step 3: Cross multiply
    138.98x = 208.14 × 108.47
  4. Step 4: Simplify right side
    138.98x = 22,577.06
  5. Step 5: Solve for x
    x = 22,577.06/138.98
  6. Step 6: Final answer
    x = 162.45

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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.