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Finding the Fourth Proportional to 43.37, 59.82 and 31.10

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Solution

The fourth proportional to 43.37, 59.82 and 31.10 is: 42.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.37 : 59.82 = 31.10 : x
  2. Step 2: Convert to fraction form
    43.37/59.82 = 31.10/x
  3. Step 3: Cross multiply
    43.37x = 59.82 × 31.10
  4. Step 4: Simplify right side
    43.37x = 1,859.99
  5. Step 5: Solve for x
    x = 1,859.99/43.37
  6. Step 6: Final answer
    x = 42.89

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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.