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Finding the Fourth Proportional to 112.89, 169.99 and 98.62

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Solution

The fourth proportional to 112.89, 169.99 and 98.62 is: 148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.89 : 169.99 = 98.62 : x
  2. Step 2: Convert to fraction form
    112.89/169.99 = 98.62/x
  3. Step 3: Cross multiply
    112.89x = 169.99 × 98.62
  4. Step 4: Simplify right side
    112.89x = 16,763.32
  5. Step 5: Solve for x
    x = 16,763.32/112.89
  6. Step 6: Final answer
    x = 148.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.