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Finding the Fourth Proportional to 94.66, 142.77 and 81.30

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Solution

The fourth proportional to 94.66, 142.77 and 81.30 is: 122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.66 : 142.77 = 81.30 : x
  2. Step 2: Convert to fraction form
    94.66/142.77 = 81.30/x
  3. Step 3: Cross multiply
    94.66x = 142.77 × 81.30
  4. Step 4: Simplify right side
    94.66x = 11,607.20
  5. Step 5: Solve for x
    x = 11,607.20/94.66
  6. Step 6: Final answer
    x = 122.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.