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Finding the Fourth Proportional to 135.96, 203.78 and 78.08

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Solution

The fourth proportional to 135.96, 203.78 and 78.08 is: 117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.96 : 203.78 = 78.08 : x
  2. Step 2: Convert to fraction form
    135.96/203.78 = 78.08/x
  3. Step 3: Cross multiply
    135.96x = 203.78 × 78.08
  4. Step 4: Simplify right side
    135.96x = 15,911.14
  5. Step 5: Solve for x
    x = 15,911.14/135.96
  6. Step 6: Final answer
    x = 117.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.