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Finding the Fourth Proportional to 139.25, 191.83 and 117.08

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Solution

The fourth proportional to 139.25, 191.83 and 117.08 is: 161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.25 : 191.83 = 117.08 : x
  2. Step 2: Convert to fraction form
    139.25/191.83 = 117.08/x
  3. Step 3: Cross multiply
    139.25x = 191.83 × 117.08
  4. Step 4: Simplify right side
    139.25x = 22,458.50
  5. Step 5: Solve for x
    x = 22,458.50/139.25
  6. Step 6: Final answer
    x = 161.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.