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Finding the Fourth Proportional to 59.09, 81.47 and 54.50

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Solution

The fourth proportional to 59.09, 81.47 and 54.50 is: 75.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.09 : 81.47 = 54.50 : x
  2. Step 2: Convert to fraction form
    59.09/81.47 = 54.50/x
  3. Step 3: Cross multiply
    59.09x = 81.47 × 54.50
  4. Step 4: Simplify right side
    59.09x = 4,439.84
  5. Step 5: Solve for x
    x = 4,439.84/59.09
  6. Step 6: Final answer
    x = 75.14

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Why These Related Problems?

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