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Finding the Fourth Proportional to 165.92, 229.14 and 113.70

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Solution

The fourth proportional to 165.92, 229.14 and 113.70 is: 157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.92 : 229.14 = 113.70 : x
  2. Step 2: Convert to fraction form
    165.92/229.14 = 113.70/x
  3. Step 3: Cross multiply
    165.92x = 229.14 × 113.70
  4. Step 4: Simplify right side
    165.92x = 26,053.22
  5. Step 5: Solve for x
    x = 26,053.22/165.92
  6. Step 6: Final answer
    x = 157.02

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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.