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Finding the Fourth Proportional to 134.60, 202.91 and 120.68

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Solution

The fourth proportional to 134.60, 202.91 and 120.68 is: 181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.60 : 202.91 = 120.68 : x
  2. Step 2: Convert to fraction form
    134.60/202.91 = 120.68/x
  3. Step 3: Cross multiply
    134.60x = 202.91 × 120.68
  4. Step 4: Simplify right side
    134.60x = 24,487.18
  5. Step 5: Solve for x
    x = 24,487.18/134.60
  6. Step 6: Final answer
    x = 181.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.