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Finding the Fourth Proportional to 94.89, 142.74 and 94.08

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Solution

The fourth proportional to 94.89, 142.74 and 94.08 is: 141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.89 : 142.74 = 94.08 : x
  2. Step 2: Convert to fraction form
    94.89/142.74 = 94.08/x
  3. Step 3: Cross multiply
    94.89x = 142.74 × 94.08
  4. Step 4: Simplify right side
    94.89x = 13,428.98
  5. Step 5: Solve for x
    x = 13,428.98/94.89
  6. Step 6: Final answer
    x = 141.52

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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.