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Finding the Fourth Proportional to 172.01, 258.02 and 75.75

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Solution

The fourth proportional to 172.01, 258.02 and 75.75 is: 113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.01 : 258.02 = 75.75 : x
  2. Step 2: Convert to fraction form
    172.01/258.02 = 75.75/x
  3. Step 3: Cross multiply
    172.01x = 258.02 × 75.75
  4. Step 4: Simplify right side
    172.01x = 19,544.64
  5. Step 5: Solve for x
    x = 19,544.64/172.01
  6. Step 6: Final answer
    x = 113.63

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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.