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Finding the Fourth Proportional to 97.95, 146.96 and 49.83

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Solution

The fourth proportional to 97.95, 146.96 and 49.83 is: 74.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.95 : 146.96 = 49.83 : x
  2. Step 2: Convert to fraction form
    97.95/146.96 = 49.83/x
  3. Step 3: Cross multiply
    97.95x = 146.96 × 49.83
  4. Step 4: Simplify right side
    97.95x = 7,323.02
  5. Step 5: Solve for x
    x = 7,323.02/97.95
  6. Step 6: Final answer
    x = 74.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.