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Finding the Fourth Proportional to 132.93, 200.09 and 120.35

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Solution

The fourth proportional to 132.93, 200.09 and 120.35 is: 181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.93 : 200.09 = 120.35 : x
  2. Step 2: Convert to fraction form
    132.93/200.09 = 120.35/x
  3. Step 3: Cross multiply
    132.93x = 200.09 × 120.35
  4. Step 4: Simplify right side
    132.93x = 24,080.23
  5. Step 5: Solve for x
    x = 24,080.23/132.93
  6. Step 6: Final answer
    x = 181.15

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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.