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Finding the Fourth Proportional to 127.16, 190.76 and 75.82

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Solution

The fourth proportional to 127.16, 190.76 and 75.82 is: 113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.16 : 190.76 = 75.82 : x
  2. Step 2: Convert to fraction form
    127.16/190.76 = 75.82/x
  3. Step 3: Cross multiply
    127.16x = 190.76 × 75.82
  4. Step 4: Simplify right side
    127.16x = 14,463.42
  5. Step 5: Solve for x
    x = 14,463.42/127.16
  6. Step 6: Final answer
    x = 113.74

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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.