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Finding the Fourth Proportional to 112.34, 167.38 and 100.22

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Solution

The fourth proportional to 112.34, 167.38 and 100.22 is: 149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.34 : 167.38 = 100.22 : x
  2. Step 2: Convert to fraction form
    112.34/167.38 = 100.22/x
  3. Step 3: Cross multiply
    112.34x = 167.38 × 100.22
  4. Step 4: Simplify right side
    112.34x = 16,774.82
  5. Step 5: Solve for x
    x = 16,774.82/112.34
  6. Step 6: Final answer
    x = 149.32

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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.