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Finding the Fourth Proportional to 120.71, 181.07 and 59.85

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Solution

The fourth proportional to 120.71, 181.07 and 59.85 is: 89.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.71 : 181.07 = 59.85 : x
  2. Step 2: Convert to fraction form
    120.71/181.07 = 59.85/x
  3. Step 3: Cross multiply
    120.71x = 181.07 × 59.85
  4. Step 4: Simplify right side
    120.71x = 10,836.74
  5. Step 5: Solve for x
    x = 10,836.74/120.71
  6. Step 6: Final answer
    x = 89.78

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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.