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Finding the Fourth Proportional to 172.56, 258.76 and 76.35

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Solution

The fourth proportional to 172.56, 258.76 and 76.35 is: 114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.56 : 258.76 = 76.35 : x
  2. Step 2: Convert to fraction form
    172.56/258.76 = 76.35/x
  3. Step 3: Cross multiply
    172.56x = 258.76 × 76.35
  4. Step 4: Simplify right side
    172.56x = 19,756.33
  5. Step 5: Solve for x
    x = 19,756.33/172.56
  6. Step 6: Final answer
    x = 114.49

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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.