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Finding the Fourth Proportional to 43.09, 59.70 and 42.43

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Solution

The fourth proportional to 43.09, 59.70 and 42.43 is: 58.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.09 : 59.70 = 42.43 : x
  2. Step 2: Convert to fraction form
    43.09/59.70 = 42.43/x
  3. Step 3: Cross multiply
    43.09x = 59.70 × 42.43
  4. Step 4: Simplify right side
    43.09x = 2,533.07
  5. Step 5: Solve for x
    x = 2,533.07/43.09
  6. Step 6: Final answer
    x = 58.79

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.