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Finding the Fourth Proportional to 92.17, 127.29 and 77.68

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Solution

The fourth proportional to 92.17, 127.29 and 77.68 is: 107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.17 : 127.29 = 77.68 : x
  2. Step 2: Convert to fraction form
    92.17/127.29 = 77.68/x
  3. Step 3: Cross multiply
    92.17x = 127.29 × 77.68
  4. Step 4: Simplify right side
    92.17x = 9,887.89
  5. Step 5: Solve for x
    x = 9,887.89/92.17
  6. Step 6: Final answer
    x = 107.28

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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.