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Finding the Fourth Proportional to 43.07, 59.40 and 29.24

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Solution

The fourth proportional to 43.07, 59.40 and 29.24 is: 40.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.07 : 59.40 = 29.24 : x
  2. Step 2: Convert to fraction form
    43.07/59.40 = 29.24/x
  3. Step 3: Cross multiply
    43.07x = 59.40 × 29.24
  4. Step 4: Simplify right side
    43.07x = 1,736.56
  5. Step 5: Solve for x
    x = 1,736.56/43.07
  6. Step 6: Final answer
    x = 40.32

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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.