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Finding the Fourth Proportional to 43.50, 59.77 and 35.71

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Solution

The fourth proportional to 43.50, 59.77 and 35.71 is: 49.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.50 : 59.77 = 35.71 : x
  2. Step 2: Convert to fraction form
    43.50/59.77 = 35.71/x
  3. Step 3: Cross multiply
    43.50x = 59.77 × 35.71
  4. Step 4: Simplify right side
    43.50x = 2,134.08
  5. Step 5: Solve for x
    x = 2,134.08/43.50
  6. Step 6: Final answer
    x = 49.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.