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Finding the Fourth Proportional to 112.32, 168.21 and 90.63

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Solution

The fourth proportional to 112.32, 168.21 and 90.63 is: 135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.32 : 168.21 = 90.63 : x
  2. Step 2: Convert to fraction form
    112.32/168.21 = 90.63/x
  3. Step 3: Cross multiply
    112.32x = 168.21 × 90.63
  4. Step 4: Simplify right side
    112.32x = 15,244.87
  5. Step 5: Solve for x
    x = 15,244.87/112.32
  6. Step 6: Final answer
    x = 135.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.