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Finding the Fourth Proportional to 175.59, 263.32 and 72.82

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Solution

The fourth proportional to 175.59, 263.32 and 72.82 is: 109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.59 : 263.32 = 72.82 : x
  2. Step 2: Convert to fraction form
    175.59/263.32 = 72.82/x
  3. Step 3: Cross multiply
    175.59x = 263.32 × 72.82
  4. Step 4: Simplify right side
    175.59x = 19,174.04
  5. Step 5: Solve for x
    x = 19,174.04/175.59
  6. Step 6: Final answer
    x = 109.20

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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.