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Finding the Fourth Proportional to 112.78, 168.22 and 100.63

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Solution

The fourth proportional to 112.78, 168.22 and 100.63 is: 150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.78 : 168.22 = 100.63 : x
  2. Step 2: Convert to fraction form
    112.78/168.22 = 100.63/x
  3. Step 3: Cross multiply
    112.78x = 168.22 × 100.63
  4. Step 4: Simplify right side
    112.78x = 16,927.98
  5. Step 5: Solve for x
    x = 16,927.98/112.78
  6. Step 6: Final answer
    x = 150.10

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