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Finding the Fourth Proportional to 16, 24.12 and 14.76

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Solution

The fourth proportional to 16, 24.12 and 14.76 is: 22.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16 : 24.12 = 14.76 : x
  2. Step 2: Convert to fraction form
    16/24.12 = 14.76/x
  3. Step 3: Cross multiply
    16x = 24.12 × 14.76
  4. Step 4: Simplify right side
    16x = 356.01
  5. Step 5: Solve for x
    x = 356.01/16
  6. Step 6: Final answer
    x = 22.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.