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Finding the Fourth Proportional to 120.29, 180.61 and 74.82

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Solution

The fourth proportional to 120.29, 180.61 and 74.82 is: 112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.29 : 180.61 = 74.82 : x
  2. Step 2: Convert to fraction form
    120.29/180.61 = 74.82/x
  3. Step 3: Cross multiply
    120.29x = 180.61 × 74.82
  4. Step 4: Simplify right side
    120.29x = 13,513.24
  5. Step 5: Solve for x
    x = 13,513.24/120.29
  6. Step 6: Final answer
    x = 112.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.