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Finding the Fourth Proportional to 165.98, 229.05 and 96.05

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Solution

The fourth proportional to 165.98, 229.05 and 96.05 is: 132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.98 : 229.05 = 96.05 : x
  2. Step 2: Convert to fraction form
    165.98/229.05 = 96.05/x
  3. Step 3: Cross multiply
    165.98x = 229.05 × 96.05
  4. Step 4: Simplify right side
    165.98x = 22,000.83
  5. Step 5: Solve for x
    x = 22,000.83/165.98
  6. Step 6: Final answer
    x = 132.55

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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.