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Finding the Fourth Proportional to 127.62, 191.43 and 31.43

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Solution

The fourth proportional to 127.62, 191.43 and 31.43 is: 47.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.62 : 191.43 = 31.43 : x
  2. Step 2: Convert to fraction form
    127.62/191.43 = 31.43/x
  3. Step 3: Cross multiply
    127.62x = 191.43 × 31.43
  4. Step 4: Simplify right side
    127.62x = 6,017.12
  5. Step 5: Solve for x
    x = 6,017.12/127.62
  6. Step 6: Final answer
    x = 47.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.