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Finding the Fourth Proportional to 14.23, 21.35 and 12.88

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Solution

The fourth proportional to 14.23, 21.35 and 12.88 is: 19.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.23 : 21.35 = 12.88 : x
  2. Step 2: Convert to fraction form
    14.23/21.35 = 12.88/x
  3. Step 3: Cross multiply
    14.23x = 21.35 × 12.88
  4. Step 4: Simplify right side
    14.23x = 274.92
  5. Step 5: Solve for x
    x = 274.92/14.23
  6. Step 6: Final answer
    x = 19.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.