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Finding the Fourth Proportional to 59.14, 81.43 and 53.74

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Solution

The fourth proportional to 59.14, 81.43 and 53.74 is: 73.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.14 : 81.43 = 53.74 : x
  2. Step 2: Convert to fraction form
    59.14/81.43 = 53.74/x
  3. Step 3: Cross multiply
    59.14x = 81.43 × 53.74
  4. Step 4: Simplify right side
    59.14x = 4,376.05
  5. Step 5: Solve for x
    x = 4,376.05/59.14
  6. Step 6: Final answer
    x = 73.99

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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.