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Finding the Fourth Proportional to 172.02, 257.52 and 114.14

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Solution

The fourth proportional to 172.02, 257.52 and 114.14 is: 170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.02 : 257.52 = 114.14 : x
  2. Step 2: Convert to fraction form
    172.02/257.52 = 114.14/x
  3. Step 3: Cross multiply
    172.02x = 257.52 × 114.14
  4. Step 4: Simplify right side
    172.02x = 29,393.33
  5. Step 5: Solve for x
    x = 29,393.33/172.02
  6. Step 6: Final answer
    x = 170.87

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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.