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Finding the Fourth Proportional to 173.18, 259.68 and 75.68

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Solution

The fourth proportional to 173.18, 259.68 and 75.68 is: 113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.18 : 259.68 = 75.68 : x
  2. Step 2: Convert to fraction form
    173.18/259.68 = 75.68/x
  3. Step 3: Cross multiply
    173.18x = 259.68 × 75.68
  4. Step 4: Simplify right side
    173.18x = 19,652.58
  5. Step 5: Solve for x
    x = 19,652.58/173.18
  6. Step 6: Final answer
    x = 113.48

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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.