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Finding the Fourth Proportional to 135, 203.58 and 120.15

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Solution

The fourth proportional to 135, 203.58 and 120.15 is: 181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135 : 203.58 = 120.15 : x
  2. Step 2: Convert to fraction form
    135/203.58 = 120.15/x
  3. Step 3: Cross multiply
    135x = 203.58 × 120.15
  4. Step 4: Simplify right side
    135x = 24,460.14
  5. Step 5: Solve for x
    x = 24,460.14/135
  6. Step 6: Final answer
    x = 181.19

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Why These Related Problems?

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