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Finding the Fourth Proportional to 175.53, 263.06 and 72.69

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Solution

The fourth proportional to 175.53, 263.06 and 72.69 is: 108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.53 : 263.06 = 72.69 : x
  2. Step 2: Convert to fraction form
    175.53/263.06 = 72.69/x
  3. Step 3: Cross multiply
    175.53x = 263.06 × 72.69
  4. Step 4: Simplify right side
    175.53x = 19,121.83
  5. Step 5: Solve for x
    x = 19,121.83/175.53
  6. Step 6: Final answer
    x = 108.94

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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.