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Finding the Fourth Proportional to 94.68, 141.48 and 81.90

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Solution

The fourth proportional to 94.68, 141.48 and 81.90 is: 122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.68 : 141.48 = 81.90 : x
  2. Step 2: Convert to fraction form
    94.68/141.48 = 81.90/x
  3. Step 3: Cross multiply
    94.68x = 141.48 × 81.90
  4. Step 4: Simplify right side
    94.68x = 11,587.21
  5. Step 5: Solve for x
    x = 11,587.21/94.68
  6. Step 6: Final answer
    x = 122.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.