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Finding the Fourth Proportional to 137.54, 206.31 and 41.35

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Solution

The fourth proportional to 137.54, 206.31 and 41.35 is: 62.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.54 : 206.31 = 41.35 : x
  2. Step 2: Convert to fraction form
    137.54/206.31 = 41.35/x
  3. Step 3: Cross multiply
    137.54x = 206.31 × 41.35
  4. Step 4: Simplify right side
    137.54x = 8,529.68
  5. Step 5: Solve for x
    x = 8,529.68/137.54
  6. Step 6: Final answer
    x = 62.02

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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.