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Finding the Fourth Proportional to 45.81, 68.32 and 43.31

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Solution

The fourth proportional to 45.81, 68.32 and 43.31 is: 64.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.81 : 68.32 = 43.31 : x
  2. Step 2: Convert to fraction form
    45.81/68.32 = 43.31/x
  3. Step 3: Cross multiply
    45.81x = 68.32 × 43.31
  4. Step 4: Simplify right side
    45.81x = 2,958.94
  5. Step 5: Solve for x
    x = 2,958.94/45.81
  6. Step 6: Final answer
    x = 64.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.