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Finding the Fourth Proportional to 59.24, 88.78 and 23.12

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Solution

The fourth proportional to 59.24, 88.78 and 23.12 is: 34.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.24 : 88.78 = 23.12 : x
  2. Step 2: Convert to fraction form
    59.24/88.78 = 23.12/x
  3. Step 3: Cross multiply
    59.24x = 88.78 × 23.12
  4. Step 4: Simplify right side
    59.24x = 2,052.59
  5. Step 5: Solve for x
    x = 2,052.59/59.24
  6. Step 6: Final answer
    x = 34.65

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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.