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Finding the Fourth Proportional to 41.84, 57.68 and 31.48

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Solution

The fourth proportional to 41.84, 57.68 and 31.48 is: 43.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.84 : 57.68 = 31.48 : x
  2. Step 2: Convert to fraction form
    41.84/57.68 = 31.48/x
  3. Step 3: Cross multiply
    41.84x = 57.68 × 31.48
  4. Step 4: Simplify right side
    41.84x = 1,815.77
  5. Step 5: Solve for x
    x = 1,815.77/41.84
  6. Step 6: Final answer
    x = 43.40

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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.