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Finding the Fourth Proportional to 59.43, 89.25 and 54.05

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Solution

The fourth proportional to 59.43, 89.25 and 54.05 is: 81.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.43 : 89.25 = 54.05 : x
  2. Step 2: Convert to fraction form
    59.43/89.25 = 54.05/x
  3. Step 3: Cross multiply
    59.43x = 89.25 × 54.05
  4. Step 4: Simplify right side
    59.43x = 4,824.12
  5. Step 5: Solve for x
    x = 4,824.12/59.43
  6. Step 6: Final answer
    x = 81.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.