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Finding the Fourth Proportional to 174.02, 260.96 and 52.24

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Solution

The fourth proportional to 174.02, 260.96 and 52.24 is: 78.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.02 : 260.96 = 52.24 : x
  2. Step 2: Convert to fraction form
    174.02/260.96 = 52.24/x
  3. Step 3: Cross multiply
    174.02x = 260.96 × 52.24
  4. Step 4: Simplify right side
    174.02x = 13,632.55
  5. Step 5: Solve for x
    x = 13,632.55/174.02
  6. Step 6: Final answer
    x = 78.34

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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.