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Finding the Fourth Proportional to 97.83, 146.74 and 75.28

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Solution

The fourth proportional to 97.83, 146.74 and 75.28 is: 112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.83 : 146.74 = 75.28 : x
  2. Step 2: Convert to fraction form
    97.83/146.74 = 75.28/x
  3. Step 3: Cross multiply
    97.83x = 146.74 × 75.28
  4. Step 4: Simplify right side
    97.83x = 11,046.41
  5. Step 5: Solve for x
    x = 11,046.41/97.83
  6. Step 6: Final answer
    x = 112.92

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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.