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Finding the Fourth Proportional to 43.07, 59.46 and 34.37

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Solution

The fourth proportional to 43.07, 59.46 and 34.37 is: 47.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.07 : 59.46 = 34.37 : x
  2. Step 2: Convert to fraction form
    43.07/59.46 = 34.37/x
  3. Step 3: Cross multiply
    43.07x = 59.46 × 34.37
  4. Step 4: Simplify right side
    43.07x = 2,043.34
  5. Step 5: Solve for x
    x = 2,043.34/43.07
  6. Step 6: Final answer
    x = 47.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.