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Finding the Fourth Proportional to 120.10, 165.68 and 75.82

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Solution

The fourth proportional to 120.10, 165.68 and 75.82 is: 104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.10 : 165.68 = 75.82 : x
  2. Step 2: Convert to fraction form
    120.10/165.68 = 75.82/x
  3. Step 3: Cross multiply
    120.10x = 165.68 × 75.82
  4. Step 4: Simplify right side
    120.10x = 12,561.35
  5. Step 5: Solve for x
    x = 12,561.35/120.10
  6. Step 6: Final answer
    x = 104.59

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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.