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Finding the Fourth Proportional to 163.83, 245.75 and 72.50

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Solution

The fourth proportional to 163.83, 245.75 and 72.50 is: 108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.83 : 245.75 = 72.50 : x
  2. Step 2: Convert to fraction form
    163.83/245.75 = 72.50/x
  3. Step 3: Cross multiply
    163.83x = 245.75 × 72.50
  4. Step 4: Simplify right side
    163.83x = 17,817.13
  5. Step 5: Solve for x
    x = 17,817.13/163.83
  6. Step 6: Final answer
    x = 108.75

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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.