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Finding the Fourth Proportional to 139.17, 208.80 and 75.09

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Solution

The fourth proportional to 139.17, 208.80 and 75.09 is: 112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.17 : 208.80 = 75.09 : x
  2. Step 2: Convert to fraction form
    139.17/208.80 = 75.09/x
  3. Step 3: Cross multiply
    139.17x = 208.80 × 75.09
  4. Step 4: Simplify right side
    139.17x = 15,678.79
  5. Step 5: Solve for x
    x = 15,678.79/139.17
  6. Step 6: Final answer
    x = 112.66

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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.