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Finding the Fourth Proportional to 127.21, 174.41 and 124.78

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Solution

The fourth proportional to 127.21, 174.41 and 124.78 is: 171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.21 : 174.41 = 124.78 : x
  2. Step 2: Convert to fraction form
    127.21/174.41 = 124.78/x
  3. Step 3: Cross multiply
    127.21x = 174.41 × 124.78
  4. Step 4: Simplify right side
    127.21x = 21,762.88
  5. Step 5: Solve for x
    x = 21,762.88/127.21
  6. Step 6: Final answer
    x = 171.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.