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Finding the Fourth Proportional to 146.34, 201.86 and 93.90

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Solution

The fourth proportional to 146.34, 201.86 and 93.90 is: 129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.34 : 201.86 = 93.90 : x
  2. Step 2: Convert to fraction form
    146.34/201.86 = 93.90/x
  3. Step 3: Cross multiply
    146.34x = 201.86 × 93.90
  4. Step 4: Simplify right side
    146.34x = 18,954.18
  5. Step 5: Solve for x
    x = 18,954.18/146.34
  6. Step 6: Final answer
    x = 129.52

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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.