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Finding the Fourth Proportional to 30.54, 42.11 and 24.78

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Solution

The fourth proportional to 30.54, 42.11 and 24.78 is: 34.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.54 : 42.11 = 24.78 : x
  2. Step 2: Convert to fraction form
    30.54/42.11 = 24.78/x
  3. Step 3: Cross multiply
    30.54x = 42.11 × 24.78
  4. Step 4: Simplify right side
    30.54x = 1,043.49
  5. Step 5: Solve for x
    x = 1,043.49/30.54
  6. Step 6: Final answer
    x = 34.17

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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.