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Finding the Fourth Proportional to 139.40, 208.98 and 78.52

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Solution

The fourth proportional to 139.40, 208.98 and 78.52 is: 117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.40 : 208.98 = 78.52 : x
  2. Step 2: Convert to fraction form
    139.40/208.98 = 78.52/x
  3. Step 3: Cross multiply
    139.40x = 208.98 × 78.52
  4. Step 4: Simplify right side
    139.40x = 16,409.11
  5. Step 5: Solve for x
    x = 16,409.11/139.40
  6. Step 6: Final answer
    x = 117.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.