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Finding the Fourth Proportional to 94.89, 142.30 and 37.12

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Solution

The fourth proportional to 94.89, 142.30 and 37.12 is: 55.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.89 : 142.30 = 37.12 : x
  2. Step 2: Convert to fraction form
    94.89/142.30 = 37.12/x
  3. Step 3: Cross multiply
    94.89x = 142.30 × 37.12
  4. Step 4: Simplify right side
    94.89x = 5,281.28
  5. Step 5: Solve for x
    x = 5,281.28/94.89
  6. Step 6: Final answer
    x = 55.66

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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.