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Finding the Fourth Proportional to 41.40, 57.02 and 37.76

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Solution

The fourth proportional to 41.40, 57.02 and 37.76 is: 52.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.40 : 57.02 = 37.76 : x
  2. Step 2: Convert to fraction form
    41.40/57.02 = 37.76/x
  3. Step 3: Cross multiply
    41.40x = 57.02 × 37.76
  4. Step 4: Simplify right side
    41.40x = 2,152.60
  5. Step 5: Solve for x
    x = 2,152.60/41.40
  6. Step 6: Final answer
    x = 52.00

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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.