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Finding the Fourth Proportional to 31.56, 47.34 and 21.42

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Solution

The fourth proportional to 31.56, 47.34 and 21.42 is: 32.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.56 : 47.34 = 21.42 : x
  2. Step 2: Convert to fraction form
    31.56/47.34 = 21.42/x
  3. Step 3: Cross multiply
    31.56x = 47.34 × 21.42
  4. Step 4: Simplify right side
    31.56x = 1,014.02
  5. Step 5: Solve for x
    x = 1,014.02/31.56
  6. Step 6: Final answer
    x = 32.13

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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.