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Finding the Fourth Proportional to 113.40, 168.93 and 108.18

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Solution

The fourth proportional to 113.40, 168.93 and 108.18 is: 161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.40 : 168.93 = 108.18 : x
  2. Step 2: Convert to fraction form
    113.40/168.93 = 108.18/x
  3. Step 3: Cross multiply
    113.40x = 168.93 × 108.18
  4. Step 4: Simplify right side
    113.40x = 18,274.85
  5. Step 5: Solve for x
    x = 18,274.85/113.40
  6. Step 6: Final answer
    x = 161.15

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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.