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Finding the Fourth Proportional to 146.72, 202.48 and 84.57

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Solution

The fourth proportional to 146.72, 202.48 and 84.57 is: 116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.72 : 202.48 = 84.57 : x
  2. Step 2: Convert to fraction form
    146.72/202.48 = 84.57/x
  3. Step 3: Cross multiply
    146.72x = 202.48 × 84.57
  4. Step 4: Simplify right side
    146.72x = 17,123.73
  5. Step 5: Solve for x
    x = 17,123.73/146.72
  6. Step 6: Final answer
    x = 116.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.