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Finding the Fourth Proportional to 127.27, 175.66 and 105.40

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Solution

The fourth proportional to 127.27, 175.66 and 105.40 is: 145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.27 : 175.66 = 105.40 : x
  2. Step 2: Convert to fraction form
    127.27/175.66 = 105.40/x
  3. Step 3: Cross multiply
    127.27x = 175.66 × 105.40
  4. Step 4: Simplify right side
    127.27x = 18,513.86
  5. Step 5: Solve for x
    x = 18,513.86/127.27
  6. Step 6: Final answer
    x = 145.47

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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.