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Finding the Fourth Proportional to 30.59, 42.19 and 21.83

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Solution

The fourth proportional to 30.59, 42.19 and 21.83 is: 30.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.59 : 42.19 = 21.83 : x
  2. Step 2: Convert to fraction form
    30.59/42.19 = 21.83/x
  3. Step 3: Cross multiply
    30.59x = 42.19 × 21.83
  4. Step 4: Simplify right side
    30.59x = 921.01
  5. Step 5: Solve for x
    x = 921.01/30.59
  6. Step 6: Final answer
    x = 30.11

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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.