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Finding the Fourth Proportional to 172.56, 258.80 and 75.06

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Solution

The fourth proportional to 172.56, 258.80 and 75.06 is: 112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.56 : 258.80 = 75.06 : x
  2. Step 2: Convert to fraction form
    172.56/258.80 = 75.06/x
  3. Step 3: Cross multiply
    172.56x = 258.80 × 75.06
  4. Step 4: Simplify right side
    172.56x = 19,425.15
  5. Step 5: Solve for x
    x = 19,425.15/172.56
  6. Step 6: Final answer
    x = 112.57

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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.