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Finding the Fourth Proportional to 127.74, 176.19 and 95.10

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Solution

The fourth proportional to 127.74, 176.19 and 95.10 is: 131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.74 : 176.19 = 95.10 : x
  2. Step 2: Convert to fraction form
    127.74/176.19 = 95.10/x
  3. Step 3: Cross multiply
    127.74x = 176.19 × 95.10
  4. Step 4: Simplify right side
    127.74x = 16,755.67
  5. Step 5: Solve for x
    x = 16,755.67/127.74
  6. Step 6: Final answer
    x = 131.17

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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.