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Finding the Fourth Proportional to 14.95, 22.31 and 13.82

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Solution

The fourth proportional to 14.95, 22.31 and 13.82 is: 20.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.95 : 22.31 = 13.82 : x
  2. Step 2: Convert to fraction form
    14.95/22.31 = 13.82/x
  3. Step 3: Cross multiply
    14.95x = 22.31 × 13.82
  4. Step 4: Simplify right side
    14.95x = 308.14
  5. Step 5: Solve for x
    x = 308.14/14.95
  6. Step 6: Final answer
    x = 20.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.