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Finding the Fourth Proportional to 31.48, 47.15 and 22.46

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Solution

The fourth proportional to 31.48, 47.15 and 22.46 is: 33.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.48 : 47.15 = 22.46 : x
  2. Step 2: Convert to fraction form
    31.48/47.15 = 22.46/x
  3. Step 3: Cross multiply
    31.48x = 47.15 × 22.46
  4. Step 4: Simplify right side
    31.48x = 1,058.99
  5. Step 5: Solve for x
    x = 1,058.99/31.48
  6. Step 6: Final answer
    x = 33.64

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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.