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Finding the Fourth Proportional to 43.05, 59.40 and 37.56

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Solution

The fourth proportional to 43.05, 59.40 and 37.56 is: 51.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.05 : 59.40 = 37.56 : x
  2. Step 2: Convert to fraction form
    43.05/59.40 = 37.56/x
  3. Step 3: Cross multiply
    43.05x = 59.40 × 37.56
  4. Step 4: Simplify right side
    43.05x = 2,231.06
  5. Step 5: Solve for x
    x = 2,231.06/43.05
  6. Step 6: Final answer
    x = 51.82

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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.