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Finding the Fourth Proportional to 29.62, 40.84 and 21.42

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Solution

The fourth proportional to 29.62, 40.84 and 21.42 is: 29.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.62 : 40.84 = 21.42 : x
  2. Step 2: Convert to fraction form
    29.62/40.84 = 21.42/x
  3. Step 3: Cross multiply
    29.62x = 40.84 × 21.42
  4. Step 4: Simplify right side
    29.62x = 874.79
  5. Step 5: Solve for x
    x = 874.79/29.62
  6. Step 6: Final answer
    x = 29.53

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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.