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Finding the Fourth Proportional to 163.76, 245.61 and 72.37

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Solution

The fourth proportional to 163.76, 245.61 and 72.37 is: 108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.76 : 245.61 = 72.37 : x
  2. Step 2: Convert to fraction form
    163.76/245.61 = 72.37/x
  3. Step 3: Cross multiply
    163.76x = 245.61 × 72.37
  4. Step 4: Simplify right side
    163.76x = 17,774.18
  5. Step 5: Solve for x
    x = 17,774.18/163.76
  6. Step 6: Final answer
    x = 108.54

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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.