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Finding the Fourth Proportional to 30.96, 46.44 and 21.42

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Solution

The fourth proportional to 30.96, 46.44 and 21.42 is: 32.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.96 : 46.44 = 21.42 : x
  2. Step 2: Convert to fraction form
    30.96/46.44 = 21.42/x
  3. Step 3: Cross multiply
    30.96x = 46.44 × 21.42
  4. Step 4: Simplify right side
    30.96x = 994.74
  5. Step 5: Solve for x
    x = 994.74/30.96
  6. Step 6: Final answer
    x = 32.13

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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.