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Finding the Fourth Proportional to 21.14, 31.71 and 13.53

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Solution

The fourth proportional to 21.14, 31.71 and 13.53 is: 20.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.14 : 31.71 = 13.53 : x
  2. Step 2: Convert to fraction form
    21.14/31.71 = 13.53/x
  3. Step 3: Cross multiply
    21.14x = 31.71 × 13.53
  4. Step 4: Simplify right side
    21.14x = 429.04
  5. Step 5: Solve for x
    x = 429.04/21.14
  6. Step 6: Final answer
    x = 20.30

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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.