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Finding the Fourth Proportional to 120.29, 180.24 and 59.36

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Solution

The fourth proportional to 120.29, 180.24 and 59.36 is: 88.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.29 : 180.24 = 59.36 : x
  2. Step 2: Convert to fraction form
    120.29/180.24 = 59.36/x
  3. Step 3: Cross multiply
    120.29x = 180.24 × 59.36
  4. Step 4: Simplify right side
    120.29x = 10,698.15
  5. Step 5: Solve for x
    x = 10,698.15/120.29
  6. Step 6: Final answer
    x = 88.94

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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.