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Finding the Fourth Proportional to 19.66, 29.52 and 16.06

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Solution

The fourth proportional to 19.66, 29.52 and 16.06 is: 24.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.66 : 29.52 = 16.06 : x
  2. Step 2: Convert to fraction form
    19.66/29.52 = 16.06/x
  3. Step 3: Cross multiply
    19.66x = 29.52 × 16.06
  4. Step 4: Simplify right side
    19.66x = 474.09
  5. Step 5: Solve for x
    x = 474.09/19.66
  6. Step 6: Final answer
    x = 24.11

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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.