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Finding the Fourth Proportional to 59.54, 81.63 and 58.52

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Solution

The fourth proportional to 59.54, 81.63 and 58.52 is: 80.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.54 : 81.63 = 58.52 : x
  2. Step 2: Convert to fraction form
    59.54/81.63 = 58.52/x
  3. Step 3: Cross multiply
    59.54x = 81.63 × 58.52
  4. Step 4: Simplify right side
    59.54x = 4,776.99
  5. Step 5: Solve for x
    x = 4,776.99/59.54
  6. Step 6: Final answer
    x = 80.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.