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Finding the Fourth Proportional to 120.22, 165.65 and 89.12

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Solution

The fourth proportional to 120.22, 165.65 and 89.12 is: 122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.22 : 165.65 = 89.12 : x
  2. Step 2: Convert to fraction form
    120.22/165.65 = 89.12/x
  3. Step 3: Cross multiply
    120.22x = 165.65 × 89.12
  4. Step 4: Simplify right side
    120.22x = 14,762.70
  5. Step 5: Solve for x
    x = 14,762.70/120.22
  6. Step 6: Final answer
    x = 122.80

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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.