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Finding the Fourth Proportional to 146.58, 202.32 and 94.92

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Solution

The fourth proportional to 146.58, 202.32 and 94.92 is: 131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.58 : 202.32 = 94.92 : x
  2. Step 2: Convert to fraction form
    146.58/202.32 = 94.92/x
  3. Step 3: Cross multiply
    146.58x = 202.32 × 94.92
  4. Step 4: Simplify right side
    146.58x = 19,204.21
  5. Step 5: Solve for x
    x = 19,204.21/146.58
  6. Step 6: Final answer
    x = 131.02

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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.