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Finding the Fourth Proportional to 14.68, 21.97 and 13.53

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Solution

The fourth proportional to 14.68, 21.97 and 13.53 is: 20.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.68 : 21.97 = 13.53 : x
  2. Step 2: Convert to fraction form
    14.68/21.97 = 13.53/x
  3. Step 3: Cross multiply
    14.68x = 21.97 × 13.53
  4. Step 4: Simplify right side
    14.68x = 297.25
  5. Step 5: Solve for x
    x = 297.25/14.68
  6. Step 6: Final answer
    x = 20.25

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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.