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Finding the Fourth Proportional to 97.63, 146.42 and 39.83

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Solution

The fourth proportional to 97.63, 146.42 and 39.83 is: 59.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.63 : 146.42 = 39.83 : x
  2. Step 2: Convert to fraction form
    97.63/146.42 = 39.83/x
  3. Step 3: Cross multiply
    97.63x = 146.42 × 39.83
  4. Step 4: Simplify right side
    97.63x = 5,832.18
  5. Step 5: Solve for x
    x = 5,832.18/97.63
  6. Step 6: Final answer
    x = 59.74

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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.