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Finding the Fourth Proportional to 120.01, 165.52 and 81.19

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Solution

The fourth proportional to 120.01, 165.52 and 81.19 is: 111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.01 : 165.52 = 81.19 : x
  2. Step 2: Convert to fraction form
    120.01/165.52 = 81.19/x
  3. Step 3: Cross multiply
    120.01x = 165.52 × 81.19
  4. Step 4: Simplify right side
    120.01x = 13,438.57
  5. Step 5: Solve for x
    x = 13,438.57/120.01
  6. Step 6: Final answer
    x = 111.98

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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.