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Finding the Fourth Proportional to 23.66, 32.64 and 13.82

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Solution

The fourth proportional to 23.66, 32.64 and 13.82 is: 19.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.66 : 32.64 = 13.82 : x
  2. Step 2: Convert to fraction form
    23.66/32.64 = 13.82/x
  3. Step 3: Cross multiply
    23.66x = 32.64 × 13.82
  4. Step 4: Simplify right side
    23.66x = 451.08
  5. Step 5: Solve for x
    x = 451.08/23.66
  6. Step 6: Final answer
    x = 19.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.