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Finding the Fourth Proportional to 139.32, 208.71 and 78.57

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Solution

The fourth proportional to 139.32, 208.71 and 78.57 is: 117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.32 : 208.71 = 78.57 : x
  2. Step 2: Convert to fraction form
    139.32/208.71 = 78.57/x
  3. Step 3: Cross multiply
    139.32x = 208.71 × 78.57
  4. Step 4: Simplify right side
    139.32x = 16,398.34
  5. Step 5: Solve for x
    x = 16,398.34/139.32
  6. Step 6: Final answer
    x = 117.70

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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.