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Finding the Fourth Proportional to 172.53, 258.71 and 112.10

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Solution

The fourth proportional to 172.53, 258.71 and 112.10 is: 168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.53 : 258.71 = 112.10 : x
  2. Step 2: Convert to fraction form
    172.53/258.71 = 112.10/x
  3. Step 3: Cross multiply
    172.53x = 258.71 × 112.10
  4. Step 4: Simplify right side
    172.53x = 28,999.54
  5. Step 5: Solve for x
    x = 28,999.54/172.53
  6. Step 6: Final answer
    x = 168.08

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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.