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Finding the Fourth Proportional to 14.08, 21.00 and 13.74

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Solution

The fourth proportional to 14.08, 21.00 and 13.74 is: 20.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.08 : 21.00 = 13.74 : x
  2. Step 2: Convert to fraction form
    14.08/21.00 = 13.74/x
  3. Step 3: Cross multiply
    14.08x = 21.00 × 13.74
  4. Step 4: Simplify right side
    14.08x = 288.40
  5. Step 5: Solve for x
    x = 288.40/14.08
  6. Step 6: Final answer
    x = 20.48

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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.