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Finding the Fourth Proportional to 97.99, 146.90 and 46.60

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Solution

The fourth proportional to 97.99, 146.90 and 46.60 is: 69.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.99 : 146.90 = 46.60 : x
  2. Step 2: Convert to fraction form
    97.99/146.90 = 46.60/x
  3. Step 3: Cross multiply
    97.99x = 146.90 × 46.60
  4. Step 4: Simplify right side
    97.99x = 6,845.29
  5. Step 5: Solve for x
    x = 6,845.29/97.99
  6. Step 6: Final answer
    x = 69.86

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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.