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Finding the Fourth Proportional to 137.93, 206.60 and 116.48

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Solution

The fourth proportional to 137.93, 206.60 and 116.48 is: 174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.93 : 206.60 = 116.48 : x
  2. Step 2: Convert to fraction form
    137.93/206.60 = 116.48/x
  3. Step 3: Cross multiply
    137.93x = 206.60 × 116.48
  4. Step 4: Simplify right side
    137.93x = 24,064.77
  5. Step 5: Solve for x
    x = 24,064.77/137.93
  6. Step 6: Final answer
    x = 174.47

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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.