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Finding the Fourth Proportional to 45.63, 63.08 and 43.71

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Solution

The fourth proportional to 45.63, 63.08 and 43.71 is: 60.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.63 : 63.08 = 43.71 : x
  2. Step 2: Convert to fraction form
    45.63/63.08 = 43.71/x
  3. Step 3: Cross multiply
    45.63x = 63.08 × 43.71
  4. Step 4: Simplify right side
    45.63x = 2,757.23
  5. Step 5: Solve for x
    x = 2,757.23/45.63
  6. Step 6: Final answer
    x = 60.43

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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.