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Finding the Fourth Proportional to 97.83, 146.16 and 81.63

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Solution

The fourth proportional to 97.83, 146.16 and 81.63 is: 121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.83 : 146.16 = 81.63 : x
  2. Step 2: Convert to fraction form
    97.83/146.16 = 81.63/x
  3. Step 3: Cross multiply
    97.83x = 146.16 × 81.63
  4. Step 4: Simplify right side
    97.83x = 11,931.04
  5. Step 5: Solve for x
    x = 11,931.04/97.83
  6. Step 6: Final answer
    x = 121.96

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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.