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Finding the Fourth Proportional to 43.09, 59.06 and 42.49

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Solution

The fourth proportional to 43.09, 59.06 and 42.49 is: 58.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.09 : 59.06 = 42.49 : x
  2. Step 2: Convert to fraction form
    43.09/59.06 = 42.49/x
  3. Step 3: Cross multiply
    43.09x = 59.06 × 42.49
  4. Step 4: Simplify right side
    43.09x = 2,509.46
  5. Step 5: Solve for x
    x = 2,509.46/43.09
  6. Step 6: Final answer
    x = 58.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.