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Finding the Fourth Proportional to 16.19, 24.16 and 14.67

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Solution

The fourth proportional to 16.19, 24.16 and 14.67 is: 21.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.19 : 24.16 = 14.67 : x
  2. Step 2: Convert to fraction form
    16.19/24.16 = 14.67/x
  3. Step 3: Cross multiply
    16.19x = 24.16 × 14.67
  4. Step 4: Simplify right side
    16.19x = 354.41
  5. Step 5: Solve for x
    x = 354.41/16.19
  6. Step 6: Final answer
    x = 21.89

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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.