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Finding the Fourth Proportional to 94.78, 141.02 and 92.96

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Solution

The fourth proportional to 94.78, 141.02 and 92.96 is: 138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.78 : 141.02 = 92.96 : x
  2. Step 2: Convert to fraction form
    94.78/141.02 = 92.96/x
  3. Step 3: Cross multiply
    94.78x = 141.02 × 92.96
  4. Step 4: Simplify right side
    94.78x = 13,109.22
  5. Step 5: Solve for x
    x = 13,109.22/94.78
  6. Step 6: Final answer
    x = 138.31

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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.