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Finding the Fourth Proportional to 127.47, 190.95 and 105.76

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Solution

The fourth proportional to 127.47, 190.95 and 105.76 is: 158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.47 : 190.95 = 105.76 : x
  2. Step 2: Convert to fraction form
    127.47/190.95 = 105.76/x
  3. Step 3: Cross multiply
    127.47x = 190.95 × 105.76
  4. Step 4: Simplify right side
    127.47x = 20,193.39
  5. Step 5: Solve for x
    x = 20,193.39/127.47
  6. Step 6: Final answer
    x = 158.41

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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.