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Finding the Fourth Proportional to 127.64, 191.44 and 46.48

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Solution

The fourth proportional to 127.64, 191.44 and 46.48 is: 69.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.64 : 191.44 = 46.48 : x
  2. Step 2: Convert to fraction form
    127.64/191.44 = 46.48/x
  3. Step 3: Cross multiply
    127.64x = 191.44 × 46.48
  4. Step 4: Simplify right side
    127.64x = 8,898.13
  5. Step 5: Solve for x
    x = 8,898.13/127.64
  6. Step 6: Final answer
    x = 69.71

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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.