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Finding the Fourth Proportional to 117.26, 175.74 and 52.24

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Solution

The fourth proportional to 117.26, 175.74 and 52.24 is: 78.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.26 : 175.74 = 52.24 : x
  2. Step 2: Convert to fraction form
    117.26/175.74 = 52.24/x
  3. Step 3: Cross multiply
    117.26x = 175.74 × 52.24
  4. Step 4: Simplify right side
    117.26x = 9,180.66
  5. Step 5: Solve for x
    x = 9,180.66/117.26
  6. Step 6: Final answer
    x = 78.29

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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.