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Finding the Fourth Proportional to 43.20, 59.16 and 42.08

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Solution

The fourth proportional to 43.20, 59.16 and 42.08 is: 57.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.20 : 59.16 = 42.08 : x
  2. Step 2: Convert to fraction form
    43.20/59.16 = 42.08/x
  3. Step 3: Cross multiply
    43.20x = 59.16 × 42.08
  4. Step 4: Simplify right side
    43.20x = 2,489.45
  5. Step 5: Solve for x
    x = 2,489.45/43.20
  6. Step 6: Final answer
    x = 57.63

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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.