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Finding the Fourth Proportional to 127.80, 177.28 and 123.55

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Solution

The fourth proportional to 127.80, 177.28 and 123.55 is: 171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.80 : 177.28 = 123.55 : x
  2. Step 2: Convert to fraction form
    127.80/177.28 = 123.55/x
  3. Step 3: Cross multiply
    127.80x = 177.28 × 123.55
  4. Step 4: Simplify right side
    127.80x = 21,902.19
  5. Step 5: Solve for x
    x = 21,902.19/127.80
  6. Step 6: Final answer
    x = 171.38

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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.