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Finding the Fourth Proportional to 137.79, 206.66 and 40.26

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Solution

The fourth proportional to 137.79, 206.66 and 40.26 is: 60.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.79 : 206.66 = 40.26 : x
  2. Step 2: Convert to fraction form
    137.79/206.66 = 40.26/x
  3. Step 3: Cross multiply
    137.79x = 206.66 × 40.26
  4. Step 4: Simplify right side
    137.79x = 8,320.24
  5. Step 5: Solve for x
    x = 8,320.24/137.79
  6. Step 6: Final answer
    x = 60.39

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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.