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Finding the Fourth Proportional to 30.57, 42.17 and 17.63

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Solution

The fourth proportional to 30.57, 42.17 and 17.63 is: 24.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.57 : 42.17 = 17.63 : x
  2. Step 2: Convert to fraction form
    30.57/42.17 = 17.63/x
  3. Step 3: Cross multiply
    30.57x = 42.17 × 17.63
  4. Step 4: Simplify right side
    30.57x = 743.46
  5. Step 5: Solve for x
    x = 743.46/30.57
  6. Step 6: Final answer
    x = 24.32

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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.