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Finding the Fourth Proportional to 36.34, 54.21 and 31.48

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Solution

The fourth proportional to 36.34, 54.21 and 31.48 is: 46.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.34 : 54.21 = 31.48 : x
  2. Step 2: Convert to fraction form
    36.34/54.21 = 31.48/x
  3. Step 3: Cross multiply
    36.34x = 54.21 × 31.48
  4. Step 4: Simplify right side
    36.34x = 1,706.53
  5. Step 5: Solve for x
    x = 1,706.53/36.34
  6. Step 6: Final answer
    x = 46.96

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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.