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Finding the Fourth Proportional to 109.16, 162.94 and 98.96

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Solution

The fourth proportional to 109.16, 162.94 and 98.96 is: 147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.16 : 162.94 = 98.96 : x
  2. Step 2: Convert to fraction form
    109.16/162.94 = 98.96/x
  3. Step 3: Cross multiply
    109.16x = 162.94 × 98.96
  4. Step 4: Simplify right side
    109.16x = 16,124.54
  5. Step 5: Solve for x
    x = 16,124.54/109.16
  6. Step 6: Final answer
    x = 147.71

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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.