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Finding the Fourth Proportional to 120.43, 166.21 and 79.01

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Solution

The fourth proportional to 120.43, 166.21 and 79.01 is: 109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.43 : 166.21 = 79.01 : x
  2. Step 2: Convert to fraction form
    120.43/166.21 = 79.01/x
  3. Step 3: Cross multiply
    120.43x = 166.21 × 79.01
  4. Step 4: Simplify right side
    120.43x = 13,131.86
  5. Step 5: Solve for x
    x = 13,131.86/120.43
  6. Step 6: Final answer
    x = 109.05

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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.