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Finding the Fourth Proportional to 139.32, 209 and 70.66

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Solution

The fourth proportional to 139.32, 209 and 70.66 is: 106.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.32 : 209 = 70.66 : x
  2. Step 2: Convert to fraction form
    139.32/209 = 70.66/x
  3. Step 3: Cross multiply
    139.32x = 209 × 70.66
  4. Step 4: Simplify right side
    139.32x = 14,767.94
  5. Step 5: Solve for x
    x = 14,767.94/139.32
  6. Step 6: Final answer
    x = 106.00

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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.