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Finding the Fourth Proportional to 112.66, 168.18 and 98.99

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Solution

The fourth proportional to 112.66, 168.18 and 98.99 is: 147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.66 : 168.18 = 98.99 : x
  2. Step 2: Convert to fraction form
    112.66/168.18 = 98.99/x
  3. Step 3: Cross multiply
    112.66x = 168.18 × 98.99
  4. Step 4: Simplify right side
    112.66x = 16,648.25
  5. Step 5: Solve for x
    x = 16,648.25/112.66
  6. Step 6: Final answer
    x = 147.77

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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.