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Finding the Fourth Proportional to 170.16, 255.72 and 127.92

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Solution

The fourth proportional to 170.16, 255.72 and 127.92 is: 192.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 255.72 = 127.92 : x
  2. Step 2: Convert to fraction form
    170.16/255.72 = 127.92/x
  3. Step 3: Cross multiply
    170.16x = 255.72 × 127.92
  4. Step 4: Simplify right side
    170.16x = 32,711.70
  5. Step 5: Solve for x
    x = 32,711.70/170.16
  6. Step 6: Final answer
    x = 192.24

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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.