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Finding the Fourth Proportional to 14.31, 21.32 and 13.70

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Solution

The fourth proportional to 14.31, 21.32 and 13.70 is: 20.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.31 : 21.32 = 13.70 : x
  2. Step 2: Convert to fraction form
    14.31/21.32 = 13.70/x
  3. Step 3: Cross multiply
    14.31x = 21.32 × 13.70
  4. Step 4: Simplify right side
    14.31x = 291.91
  5. Step 5: Solve for x
    x = 291.91/14.31
  6. Step 6: Final answer
    x = 20.40

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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.