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Finding the Fourth Proportional to 59.39, 89.06 and 22.82

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Solution

The fourth proportional to 59.39, 89.06 and 22.82 is: 34.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.39 : 89.06 = 22.82 : x
  2. Step 2: Convert to fraction form
    59.39/89.06 = 22.82/x
  3. Step 3: Cross multiply
    59.39x = 89.06 × 22.82
  4. Step 4: Simplify right side
    59.39x = 2,032.46
  5. Step 5: Solve for x
    x = 2,032.46/59.39
  6. Step 6: Final answer
    x = 34.23

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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.