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Finding the Fourth Proportional to 127.57, 191.43 and 46.40

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Solution

The fourth proportional to 127.57, 191.43 and 46.40 is: 69.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.57 : 191.43 = 46.40 : x
  2. Step 2: Convert to fraction form
    127.57/191.43 = 46.40/x
  3. Step 3: Cross multiply
    127.57x = 191.43 × 46.40
  4. Step 4: Simplify right side
    127.57x = 8,882.35
  5. Step 5: Solve for x
    x = 8,882.35/127.57
  6. Step 6: Final answer
    x = 69.63

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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.