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Finding the Fourth Proportional to 127.80, 177.30 and 122.40

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Solution

The fourth proportional to 127.80, 177.30 and 122.40 is: 169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.80 : 177.30 = 122.40 : x
  2. Step 2: Convert to fraction form
    127.80/177.30 = 122.40/x
  3. Step 3: Cross multiply
    127.80x = 177.30 × 122.40
  4. Step 4: Simplify right side
    127.80x = 21,701.52
  5. Step 5: Solve for x
    x = 21,701.52/127.80
  6. Step 6: Final answer
    x = 169.81

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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.