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Finding the Fourth Proportional to 16, 23.84 and 14.64

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Solution

The fourth proportional to 16, 23.84 and 14.64 is: 21.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16 : 23.84 = 14.64 : x
  2. Step 2: Convert to fraction form
    16/23.84 = 14.64/x
  3. Step 3: Cross multiply
    16x = 23.84 × 14.64
  4. Step 4: Simplify right side
    16x = 349.02
  5. Step 5: Solve for x
    x = 349.02/16
  6. Step 6: Final answer
    x = 21.81

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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.