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Finding the Fourth Proportional to 165.06, 247.43 and 91.87

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Solution

The fourth proportional to 165.06, 247.43 and 91.87 is: 137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.06 : 247.43 = 91.87 : x
  2. Step 2: Convert to fraction form
    165.06/247.43 = 91.87/x
  3. Step 3: Cross multiply
    165.06x = 247.43 × 91.87
  4. Step 4: Simplify right side
    165.06x = 22,731.01
  5. Step 5: Solve for x
    x = 22,731.01/165.06
  6. Step 6: Final answer
    x = 137.71

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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.