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Finding the Fourth Proportional to 139.06, 207.40 and 117.53

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Solution

The fourth proportional to 139.06, 207.40 and 117.53 is: 175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.06 : 207.40 = 117.53 : x
  2. Step 2: Convert to fraction form
    139.06/207.40 = 117.53/x
  3. Step 3: Cross multiply
    139.06x = 207.40 × 117.53
  4. Step 4: Simplify right side
    139.06x = 24,375.72
  5. Step 5: Solve for x
    x = 24,375.72/139.06
  6. Step 6: Final answer
    x = 175.29

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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.