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Finding the Fourth Proportional to 34.17, 47.18 and 30.75

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Solution

The fourth proportional to 34.17, 47.18 and 30.75 is: 42.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.17 : 47.18 = 30.75 : x
  2. Step 2: Convert to fraction form
    34.17/47.18 = 30.75/x
  3. Step 3: Cross multiply
    34.17x = 47.18 × 30.75
  4. Step 4: Simplify right side
    34.17x = 1,450.63
  5. Step 5: Solve for x
    x = 1,450.63/34.17
  6. Step 6: Final answer
    x = 42.45

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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.