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Finding the Fourth Proportional to 40.70, 57.74 and 40.70

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Solution

The fourth proportional to 40.70, 57.74 and 40.70 is: 57.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.70 : 57.74 = 40.70 : x
  2. Step 2: Convert to fraction form
    40.70/57.74 = 40.70/x
  3. Step 3: Cross multiply
    40.70x = 57.74 × 40.70
  4. Step 4: Simplify right side
    40.70x = 2,350.02
  5. Step 5: Solve for x
    x = 2,350.02/40.70
  6. Step 6: Final answer
    x = 57.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.