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Finding the Fourth Proportional to 19.85, 29.66 and 19.13

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Solution

The fourth proportional to 19.85, 29.66 and 19.13 is: 28.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.85 : 29.66 = 19.13 : x
  2. Step 2: Convert to fraction form
    19.85/29.66 = 19.13/x
  3. Step 3: Cross multiply
    19.85x = 29.66 × 19.13
  4. Step 4: Simplify right side
    19.85x = 567.15
  5. Step 5: Solve for x
    x = 567.15/19.85
  6. Step 6: Final answer
    x = 28.58

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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.