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Finding the Fourth Proportional to 127.21, 190.64 and 99.83

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Solution

The fourth proportional to 127.21, 190.64 and 99.83 is: 149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.21 : 190.64 = 99.83 : x
  2. Step 2: Convert to fraction form
    127.21/190.64 = 99.83/x
  3. Step 3: Cross multiply
    127.21x = 190.64 × 99.83
  4. Step 4: Simplify right side
    127.21x = 19,031.59
  5. Step 5: Solve for x
    x = 19,031.59/127.21
  6. Step 6: Final answer
    x = 149.61

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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.