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Finding the Fourth Proportional to 120.24, 165.72 and 83.28

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Solution

The fourth proportional to 120.24, 165.72 and 83.28 is: 114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 165.72 = 83.28 : x
  2. Step 2: Convert to fraction form
    120.24/165.72 = 83.28/x
  3. Step 3: Cross multiply
    120.24x = 165.72 × 83.28
  4. Step 4: Simplify right side
    120.24x = 13,801.16
  5. Step 5: Solve for x
    x = 13,801.16/120.24
  6. Step 6: Final answer
    x = 114.78

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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.