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Finding the Fourth Proportional to 127.50, 176.75 and 120.57

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Solution

The fourth proportional to 127.50, 176.75 and 120.57 is: 167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.50 : 176.75 = 120.57 : x
  2. Step 2: Convert to fraction form
    127.50/176.75 = 120.57/x
  3. Step 3: Cross multiply
    127.50x = 176.75 × 120.57
  4. Step 4: Simplify right side
    127.50x = 21,310.75
  5. Step 5: Solve for x
    x = 21,310.75/127.50
  6. Step 6: Final answer
    x = 167.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.