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Finding the Fourth Proportional to 172.60, 259.16 and 76.48

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Solution

The fourth proportional to 172.60, 259.16 and 76.48 is: 114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.60 : 259.16 = 76.48 : x
  2. Step 2: Convert to fraction form
    172.60/259.16 = 76.48/x
  3. Step 3: Cross multiply
    172.60x = 259.16 × 76.48
  4. Step 4: Simplify right side
    172.60x = 19,820.56
  5. Step 5: Solve for x
    x = 19,820.56/172.60
  6. Step 6: Final answer
    x = 114.84

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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.