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Finding the Fourth Proportional to 28.42, 42.66 and 19.44

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Solution

The fourth proportional to 28.42, 42.66 and 19.44 is: 29.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.42 : 42.66 = 19.44 : x
  2. Step 2: Convert to fraction form
    28.42/42.66 = 19.44/x
  3. Step 3: Cross multiply
    28.42x = 42.66 × 19.44
  4. Step 4: Simplify right side
    28.42x = 829.31
  5. Step 5: Solve for x
    x = 829.31/28.42
  6. Step 6: Final answer
    x = 29.18

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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.