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Finding the Fourth Proportional to 16.40, 24.64 and 9.66

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Solution

The fourth proportional to 16.40, 24.64 and 9.66 is: 14.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.40 : 24.64 = 9.66 : x
  2. Step 2: Convert to fraction form
    16.40/24.64 = 9.66/x
  3. Step 3: Cross multiply
    16.40x = 24.64 × 9.66
  4. Step 4: Simplify right side
    16.40x = 238.02
  5. Step 5: Solve for x
    x = 238.02/16.40
  6. Step 6: Final answer
    x = 14.51

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Why These Related Problems?

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