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Finding the Fourth Proportional to 165.54, 248.31 and 43.81

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Solution

The fourth proportional to 165.54, 248.31 and 43.81 is: 65.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.54 : 248.31 = 43.81 : x
  2. Step 2: Convert to fraction form
    165.54/248.31 = 43.81/x
  3. Step 3: Cross multiply
    165.54x = 248.31 × 43.81
  4. Step 4: Simplify right side
    165.54x = 10,877.84
  5. Step 5: Solve for x
    x = 10,877.84/165.54
  6. Step 6: Final answer
    x = 65.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.