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Finding the Fourth Proportional to 137.79, 206.37 and 125.64

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Solution

The fourth proportional to 137.79, 206.37 and 125.64 is: 188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.79 : 206.37 = 125.64 : x
  2. Step 2: Convert to fraction form
    137.79/206.37 = 125.64/x
  3. Step 3: Cross multiply
    137.79x = 206.37 × 125.64
  4. Step 4: Simplify right side
    137.79x = 25,928.33
  5. Step 5: Solve for x
    x = 25,928.33/137.79
  6. Step 6: Final answer
    x = 188.17

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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.