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Finding the Fourth Proportional to 109, 162.67 and 98.74

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Solution

The fourth proportional to 109, 162.67 and 98.74 is: 147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 162.67 = 98.74 : x
  2. Step 2: Convert to fraction form
    109/162.67 = 98.74/x
  3. Step 3: Cross multiply
    109x = 162.67 × 98.74
  4. Step 4: Simplify right side
    109x = 16,062.04
  5. Step 5: Solve for x
    x = 16,062.04/109
  6. Step 6: Final answer
    x = 147.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.