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Finding the Fourth Proportional to 165.99, 229.13 and 110.71

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Solution

The fourth proportional to 165.99, 229.13 and 110.71 is: 152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.99 : 229.13 = 110.71 : x
  2. Step 2: Convert to fraction form
    165.99/229.13 = 110.71/x
  3. Step 3: Cross multiply
    165.99x = 229.13 × 110.71
  4. Step 4: Simplify right side
    165.99x = 25,366.98
  5. Step 5: Solve for x
    x = 25,366.98/165.99
  6. Step 6: Final answer
    x = 152.82

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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.