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Finding the Fourth Proportional to 14.40, 21.46 and 13.80

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Solution

The fourth proportional to 14.40, 21.46 and 13.80 is: 20.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.40 : 21.46 = 13.80 : x
  2. Step 2: Convert to fraction form
    14.40/21.46 = 13.80/x
  3. Step 3: Cross multiply
    14.40x = 21.46 × 13.80
  4. Step 4: Simplify right side
    14.40x = 296.15
  5. Step 5: Solve for x
    x = 296.15/14.40
  6. Step 6: Final answer
    x = 20.57

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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.