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Finding the Fourth Proportional to 127.81, 191.31 and 99.03

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Solution

The fourth proportional to 127.81, 191.31 and 99.03 is: 148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.81 : 191.31 = 99.03 : x
  2. Step 2: Convert to fraction form
    127.81/191.31 = 99.03/x
  3. Step 3: Cross multiply
    127.81x = 191.31 × 99.03
  4. Step 4: Simplify right side
    127.81x = 18,945.43
  5. Step 5: Solve for x
    x = 18,945.43/127.81
  6. Step 6: Final answer
    x = 148.23

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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.