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Finding the Fourth Proportional to 92.66, 127.94 and 65.07

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Solution

The fourth proportional to 92.66, 127.94 and 65.07 is: 89.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.66 : 127.94 = 65.07 : x
  2. Step 2: Convert to fraction form
    92.66/127.94 = 65.07/x
  3. Step 3: Cross multiply
    92.66x = 127.94 × 65.07
  4. Step 4: Simplify right side
    92.66x = 8,324.73
  5. Step 5: Solve for x
    x = 8,324.73/92.66
  6. Step 6: Final answer
    x = 89.85

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Why These Related Problems?

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