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Finding the Fourth Proportional to 127.29, 175.56 and 105.42

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Solution

The fourth proportional to 127.29, 175.56 and 105.42 is: 145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.29 : 175.56 = 105.42 : x
  2. Step 2: Convert to fraction form
    127.29/175.56 = 105.42/x
  3. Step 3: Cross multiply
    127.29x = 175.56 × 105.42
  4. Step 4: Simplify right side
    127.29x = 18,507.54
  5. Step 5: Solve for x
    x = 18,507.54/127.29
  6. Step 6: Final answer
    x = 145.40

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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.