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Finding the Fourth Proportional to 174.93, 262.25 and 72.14

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Solution

The fourth proportional to 174.93, 262.25 and 72.14 is: 108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.93 : 262.25 = 72.14 : x
  2. Step 2: Convert to fraction form
    174.93/262.25 = 72.14/x
  3. Step 3: Cross multiply
    174.93x = 262.25 × 72.14
  4. Step 4: Simplify right side
    174.93x = 18,918.89
  5. Step 5: Solve for x
    x = 18,918.89/174.93
  6. Step 6: Final answer
    x = 108.15

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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.