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Finding the Fourth Proportional to 43.05, 59.40 and 29.92

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Solution

The fourth proportional to 43.05, 59.40 and 29.92 is: 41.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.05 : 59.40 = 29.92 : x
  2. Step 2: Convert to fraction form
    43.05/59.40 = 29.92/x
  3. Step 3: Cross multiply
    43.05x = 59.40 × 29.92
  4. Step 4: Simplify right side
    43.05x = 1,777.25
  5. Step 5: Solve for x
    x = 1,777.25/43.05
  6. Step 6: Final answer
    x = 41.28

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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.