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Finding the Fourth Proportional to 41.70, 57.58 and 40.20

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Solution

The fourth proportional to 41.70, 57.58 and 40.20 is: 55.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.70 : 57.58 = 40.20 : x
  2. Step 2: Convert to fraction form
    41.70/57.58 = 40.20/x
  3. Step 3: Cross multiply
    41.70x = 57.58 × 40.20
  4. Step 4: Simplify right side
    41.70x = 2,314.72
  5. Step 5: Solve for x
    x = 2,314.72/41.70
  6. Step 6: Final answer
    x = 55.51

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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.