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Finding the Fourth Proportional to 139.72, 208.85 and 118.12

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Solution

The fourth proportional to 139.72, 208.85 and 118.12 is: 176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.72 : 208.85 = 118.12 : x
  2. Step 2: Convert to fraction form
    139.72/208.85 = 118.12/x
  3. Step 3: Cross multiply
    139.72x = 208.85 × 118.12
  4. Step 4: Simplify right side
    139.72x = 24,669.36
  5. Step 5: Solve for x
    x = 24,669.36/139.72
  6. Step 6: Final answer
    x = 176.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.