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Finding the Fourth Proportional to 112.96, 168.62 and 97.80

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Solution

The fourth proportional to 112.96, 168.62 and 97.80 is: 145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.96 : 168.62 = 97.80 : x
  2. Step 2: Convert to fraction form
    112.96/168.62 = 97.80/x
  3. Step 3: Cross multiply
    112.96x = 168.62 × 97.80
  4. Step 4: Simplify right side
    112.96x = 16,491.04
  5. Step 5: Solve for x
    x = 16,491.04/112.96
  6. Step 6: Final answer
    x = 145.99

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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.