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Finding the Fourth Proportional to 137.56, 206.19 and 65.32

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Solution

The fourth proportional to 137.56, 206.19 and 65.32 is: 97.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.56 : 206.19 = 65.32 : x
  2. Step 2: Convert to fraction form
    137.56/206.19 = 65.32/x
  3. Step 3: Cross multiply
    137.56x = 206.19 × 65.32
  4. Step 4: Simplify right side
    137.56x = 13,468.33
  5. Step 5: Solve for x
    x = 13,468.33/137.56
  6. Step 6: Final answer
    x = 97.91

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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.