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Finding the Fourth Proportional to 146.36, 202.06 and 93.92

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Solution

The fourth proportional to 146.36, 202.06 and 93.92 is: 129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.36 : 202.06 = 93.92 : x
  2. Step 2: Convert to fraction form
    146.36/202.06 = 93.92/x
  3. Step 3: Cross multiply
    146.36x = 202.06 × 93.92
  4. Step 4: Simplify right side
    146.36x = 18,978.17
  5. Step 5: Solve for x
    x = 18,978.17/146.36
  6. Step 6: Final answer
    x = 129.67

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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.