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Finding the Fourth Proportional to 120.22, 165.84 and 87.49

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Solution

The fourth proportional to 120.22, 165.84 and 87.49 is: 120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.22 : 165.84 = 87.49 : x
  2. Step 2: Convert to fraction form
    120.22/165.84 = 87.49/x
  3. Step 3: Cross multiply
    120.22x = 165.84 × 87.49
  4. Step 4: Simplify right side
    120.22x = 14,509.34
  5. Step 5: Solve for x
    x = 14,509.34/120.22
  6. Step 6: Final answer
    x = 120.69

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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.