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Finding the Fourth Proportional to 174.77, 262.14 and 53.03

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Solution

The fourth proportional to 174.77, 262.14 and 53.03 is: 79.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.77 : 262.14 = 53.03 : x
  2. Step 2: Convert to fraction form
    174.77/262.14 = 53.03/x
  3. Step 3: Cross multiply
    174.77x = 262.14 × 53.03
  4. Step 4: Simplify right side
    174.77x = 13,899.97
  5. Step 5: Solve for x
    x = 13,899.97/174.77
  6. Step 6: Final answer
    x = 79.54

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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.