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Finding the Fourth Proportional to 127.22, 174.15 and 123.08

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Solution

The fourth proportional to 127.22, 174.15 and 123.08 is: 168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.22 : 174.15 = 123.08 : x
  2. Step 2: Convert to fraction form
    127.22/174.15 = 123.08/x
  3. Step 3: Cross multiply
    127.22x = 174.15 × 123.08
  4. Step 4: Simplify right side
    127.22x = 21,433.51
  5. Step 5: Solve for x
    x = 21,433.51/127.22
  6. Step 6: Final answer
    x = 168.48

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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.