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Finding the Fourth Proportional to 19.66, 27.12 and 17.84

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Solution

The fourth proportional to 19.66, 27.12 and 17.84 is: 24.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.66 : 27.12 = 17.84 : x
  2. Step 2: Convert to fraction form
    19.66/27.12 = 17.84/x
  3. Step 3: Cross multiply
    19.66x = 27.12 × 17.84
  4. Step 4: Simplify right side
    19.66x = 483.82
  5. Step 5: Solve for x
    x = 483.82/19.66
  6. Step 6: Final answer
    x = 24.61

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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.