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Finding the Fourth Proportional to 94.62, 142.05 and 49.02

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Solution

The fourth proportional to 94.62, 142.05 and 49.02 is: 73.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.62 : 142.05 = 49.02 : x
  2. Step 2: Convert to fraction form
    94.62/142.05 = 49.02/x
  3. Step 3: Cross multiply
    94.62x = 142.05 × 49.02
  4. Step 4: Simplify right side
    94.62x = 6,963.29
  5. Step 5: Solve for x
    x = 6,963.29/94.62
  6. Step 6: Final answer
    x = 73.59

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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.