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Finding the Fourth Proportional to 127.28, 175.48 and 106.22

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Solution

The fourth proportional to 127.28, 175.48 and 106.22 is: 146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.28 : 175.48 = 106.22 : x
  2. Step 2: Convert to fraction form
    127.28/175.48 = 106.22/x
  3. Step 3: Cross multiply
    127.28x = 175.48 × 106.22
  4. Step 4: Simplify right side
    127.28x = 18,639.49
  5. Step 5: Solve for x
    x = 18,639.49/127.28
  6. Step 6: Final answer
    x = 146.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.