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Finding the Fourth Proportional to 146.68, 202.33 and 91.46

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Solution

The fourth proportional to 146.68, 202.33 and 91.46 is: 126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.68 : 202.33 = 91.46 : x
  2. Step 2: Convert to fraction form
    146.68/202.33 = 91.46/x
  3. Step 3: Cross multiply
    146.68x = 202.33 × 91.46
  4. Step 4: Simplify right side
    146.68x = 18,505.10
  5. Step 5: Solve for x
    x = 18,505.10/146.68
  6. Step 6: Final answer
    x = 126.16

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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.