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Finding the Fourth Proportional to 174.92, 262.36 and 59.40

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Solution

The fourth proportional to 174.92, 262.36 and 59.40 is: 89.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.92 : 262.36 = 59.40 : x
  2. Step 2: Convert to fraction form
    174.92/262.36 = 59.40/x
  3. Step 3: Cross multiply
    174.92x = 262.36 × 59.40
  4. Step 4: Simplify right side
    174.92x = 15,584.18
  5. Step 5: Solve for x
    x = 15,584.18/174.92
  6. Step 6: Final answer
    x = 89.09

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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.