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Finding the Fourth Proportional to 127.77, 177.57 and 126.30

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Solution

The fourth proportional to 127.77, 177.57 and 126.30 is: 175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.77 : 177.57 = 126.30 : x
  2. Step 2: Convert to fraction form
    127.77/177.57 = 126.30/x
  3. Step 3: Cross multiply
    127.77x = 177.57 × 126.30
  4. Step 4: Simplify right side
    127.77x = 22,427.09
  5. Step 5: Solve for x
    x = 22,427.09/127.77
  6. Step 6: Final answer
    x = 175.53

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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.