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Finding the Fourth Proportional to 172.17, 258.30 and 104.13

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Solution

The fourth proportional to 172.17, 258.30 and 104.13 is: 156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.17 : 258.30 = 104.13 : x
  2. Step 2: Convert to fraction form
    172.17/258.30 = 104.13/x
  3. Step 3: Cross multiply
    172.17x = 258.30 × 104.13
  4. Step 4: Simplify right side
    172.17x = 26,896.78
  5. Step 5: Solve for x
    x = 26,896.78/172.17
  6. Step 6: Final answer
    x = 156.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.