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Finding the Fourth Proportional to 165.92, 229 and 110.66

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Solution

The fourth proportional to 165.92, 229 and 110.66 is: 152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.92 : 229 = 110.66 : x
  2. Step 2: Convert to fraction form
    165.92/229 = 110.66/x
  3. Step 3: Cross multiply
    165.92x = 229 × 110.66
  4. Step 4: Simplify right side
    165.92x = 25,340.00
  5. Step 5: Solve for x
    x = 25,340.00/165.92
  6. Step 6: Final answer
    x = 152.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.