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Finding the Fourth Proportional to 127.76, 175.85 and 106.81

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Solution

The fourth proportional to 127.76, 175.85 and 106.81 is: 147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.76 : 175.85 = 106.81 : x
  2. Step 2: Convert to fraction form
    127.76/175.85 = 106.81/x
  3. Step 3: Cross multiply
    127.76x = 175.85 × 106.81
  4. Step 4: Simplify right side
    127.76x = 18,781.66
  5. Step 5: Solve for x
    x = 18,781.66/127.76
  6. Step 6: Final answer
    x = 147.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.