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Finding the Fourth Proportional to 43.70, 57.97 and 43.70

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Solution

The fourth proportional to 43.70, 57.97 and 43.70 is: 57.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.70 : 57.97 = 43.70 : x
  2. Step 2: Convert to fraction form
    43.70/57.97 = 43.70/x
  3. Step 3: Cross multiply
    43.70x = 57.97 × 43.70
  4. Step 4: Simplify right side
    43.70x = 2,533.07
  5. Step 5: Solve for x
    x = 2,533.07/43.70
  6. Step 6: Final answer
    x = 57.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.