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Finding the Fourth Proportional to 127.22, 175.36 and 106.42

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Solution

The fourth proportional to 127.22, 175.36 and 106.42 is: 146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.22 : 175.36 = 106.42 : x
  2. Step 2: Convert to fraction form
    127.22/175.36 = 106.42/x
  3. Step 3: Cross multiply
    127.22x = 175.36 × 106.42
  4. Step 4: Simplify right side
    127.22x = 18,661.81
  5. Step 5: Solve for x
    x = 18,661.81/127.22
  6. Step 6: Final answer
    x = 146.69

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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.