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Finding the Fourth Proportional to 120.35, 165.96 and 99.65

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Solution

The fourth proportional to 120.35, 165.96 and 99.65 is: 137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.35 : 165.96 = 99.65 : x
  2. Step 2: Convert to fraction form
    120.35/165.96 = 99.65/x
  3. Step 3: Cross multiply
    120.35x = 165.96 × 99.65
  4. Step 4: Simplify right side
    120.35x = 16,537.08
  5. Step 5: Solve for x
    x = 16,537.08/120.35
  6. Step 6: Final answer
    x = 137.41

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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.