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Finding the Fourth Proportional to 41.74, 57.64 and 34

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Solution

The fourth proportional to 41.74, 57.64 and 34 is: 46.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.74 : 57.64 = 34 : x
  2. Step 2: Convert to fraction form
    41.74/57.64 = 34/x
  3. Step 3: Cross multiply
    41.74x = 57.64 × 34
  4. Step 4: Simplify right side
    41.74x = 1,959.76
  5. Step 5: Solve for x
    x = 1,959.76/41.74
  6. Step 6: Final answer
    x = 46.95

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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.