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Finding the Fourth Proportional to 127.42, 191.49 and 76.07

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Solution

The fourth proportional to 127.42, 191.49 and 76.07 is: 114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.42 : 191.49 = 76.07 : x
  2. Step 2: Convert to fraction form
    127.42/191.49 = 76.07/x
  3. Step 3: Cross multiply
    127.42x = 191.49 × 76.07
  4. Step 4: Simplify right side
    127.42x = 14,566.64
  5. Step 5: Solve for x
    x = 14,566.64/127.42
  6. Step 6: Final answer
    x = 114.32

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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.