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Finding the Fourth Proportional to 59.82, 89.60 and 31.26

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Solution

The fourth proportional to 59.82, 89.60 and 31.26 is: 46.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.82 : 89.60 = 31.26 : x
  2. Step 2: Convert to fraction form
    59.82/89.60 = 31.26/x
  3. Step 3: Cross multiply
    59.82x = 89.60 × 31.26
  4. Step 4: Simplify right side
    59.82x = 2,800.90
  5. Step 5: Solve for x
    x = 2,800.90/59.82
  6. Step 6: Final answer
    x = 46.82

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Why These Related Problems?

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