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Finding the Fourth Proportional to 43.41, 59.40 and 42.24

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Solution

The fourth proportional to 43.41, 59.40 and 42.24 is: 57.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.41 : 59.40 = 42.24 : x
  2. Step 2: Convert to fraction form
    43.41/59.40 = 42.24/x
  3. Step 3: Cross multiply
    43.41x = 59.40 × 42.24
  4. Step 4: Simplify right side
    43.41x = 2,509.06
  5. Step 5: Solve for x
    x = 2,509.06/43.41
  6. Step 6: Final answer
    x = 57.80

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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.