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Finding the Fourth Proportional to 172.29, 258.57 and 76.17

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Solution

The fourth proportional to 172.29, 258.57 and 76.17 is: 114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.29 : 258.57 = 76.17 : x
  2. Step 2: Convert to fraction form
    172.29/258.57 = 76.17/x
  3. Step 3: Cross multiply
    172.29x = 258.57 × 76.17
  4. Step 4: Simplify right side
    172.29x = 19,695.28
  5. Step 5: Solve for x
    x = 19,695.28/172.29
  6. Step 6: Final answer
    x = 114.31

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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.