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Finding the Fourth Proportional to 165.96, 229.01 and 96.01

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Solution

The fourth proportional to 165.96, 229.01 and 96.01 is: 132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.96 : 229.01 = 96.01 : x
  2. Step 2: Convert to fraction form
    165.96/229.01 = 96.01/x
  3. Step 3: Cross multiply
    165.96x = 229.01 × 96.01
  4. Step 4: Simplify right side
    165.96x = 21,987.32
  5. Step 5: Solve for x
    x = 21,987.32/165.96
  6. Step 6: Final answer
    x = 132.48

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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.