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Finding the Fourth Proportional to 94.61, 142.05 and 74.54

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Solution

The fourth proportional to 94.61, 142.05 and 74.54 is: 111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.61 : 142.05 = 74.54 : x
  2. Step 2: Convert to fraction form
    94.61/142.05 = 74.54/x
  3. Step 3: Cross multiply
    94.61x = 142.05 × 74.54
  4. Step 4: Simplify right side
    94.61x = 10,588.41
  5. Step 5: Solve for x
    x = 10,588.41/94.61
  6. Step 6: Final answer
    x = 111.92

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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.