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Finding the Fourth Proportional to 31.34, 47.01 and 14.24

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Solution

The fourth proportional to 31.34, 47.01 and 14.24 is: 21.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.34 : 47.01 = 14.24 : x
  2. Step 2: Convert to fraction form
    31.34/47.01 = 14.24/x
  3. Step 3: Cross multiply
    31.34x = 47.01 × 14.24
  4. Step 4: Simplify right side
    31.34x = 669.12
  5. Step 5: Solve for x
    x = 669.12/31.34
  6. Step 6: Final answer
    x = 21.35

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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.