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Finding the Fourth Proportional to 120.19, 180.18 and 59.29

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Solution

The fourth proportional to 120.19, 180.18 and 59.29 is: 88.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.19 : 180.18 = 59.29 : x
  2. Step 2: Convert to fraction form
    120.19/180.18 = 59.29/x
  3. Step 3: Cross multiply
    120.19x = 180.18 × 59.29
  4. Step 4: Simplify right side
    120.19x = 10,682.87
  5. Step 5: Solve for x
    x = 10,682.87/120.19
  6. Step 6: Final answer
    x = 88.88

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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.