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Finding the Fourth Proportional to 94.67, 141.96 and 94.40

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Solution

The fourth proportional to 94.67, 141.96 and 94.40 is: 141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.67 : 141.96 = 94.40 : x
  2. Step 2: Convert to fraction form
    94.67/141.96 = 94.40/x
  3. Step 3: Cross multiply
    94.67x = 141.96 × 94.40
  4. Step 4: Simplify right side
    94.67x = 13,401.02
  5. Step 5: Solve for x
    x = 13,401.02/94.67
  6. Step 6: Final answer
    x = 141.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.