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Finding the Fourth Proportional to 120.19, 180.01 and 98.59

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Solution

The fourth proportional to 120.19, 180.01 and 98.59 is: 147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.19 : 180.01 = 98.59 : x
  2. Step 2: Convert to fraction form
    120.19/180.01 = 98.59/x
  3. Step 3: Cross multiply
    120.19x = 180.01 × 98.59
  4. Step 4: Simplify right side
    120.19x = 17,747.19
  5. Step 5: Solve for x
    x = 17,747.19/120.19
  6. Step 6: Final answer
    x = 147.66

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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.