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Finding the Fourth Proportional to 120.60, 165.96 and 87.84

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Solution

The fourth proportional to 120.60, 165.96 and 87.84 is: 120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.60 : 165.96 = 87.84 : x
  2. Step 2: Convert to fraction form
    120.60/165.96 = 87.84/x
  3. Step 3: Cross multiply
    120.60x = 165.96 × 87.84
  4. Step 4: Simplify right side
    120.60x = 14,577.93
  5. Step 5: Solve for x
    x = 14,577.93/120.60
  6. Step 6: Final answer
    x = 120.88

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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.