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Finding the Fourth Proportional to 98.14, 146.12 and 96.68

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Solution

The fourth proportional to 98.14, 146.12 and 96.68 is: 143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.14 : 146.12 = 96.68 : x
  2. Step 2: Convert to fraction form
    98.14/146.12 = 96.68/x
  3. Step 3: Cross multiply
    98.14x = 146.12 × 96.68
  4. Step 4: Simplify right side
    98.14x = 14,126.15
  5. Step 5: Solve for x
    x = 14,126.15/98.14
  6. Step 6: Final answer
    x = 143.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.