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Finding the Fourth Proportional to 172.29, 258.22 and 99.23

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Solution

The fourth proportional to 172.29, 258.22 and 99.23 is: 148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.29 : 258.22 = 99.23 : x
  2. Step 2: Convert to fraction form
    172.29/258.22 = 99.23/x
  3. Step 3: Cross multiply
    172.29x = 258.22 × 99.23
  4. Step 4: Simplify right side
    172.29x = 25,623.17
  5. Step 5: Solve for x
    x = 25,623.17/172.29
  6. Step 6: Final answer
    x = 148.72

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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.