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Finding the Fourth Proportional to 135.73, 203.63 and 78.02

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Solution

The fourth proportional to 135.73, 203.63 and 78.02 is: 117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.73 : 203.63 = 78.02 : x
  2. Step 2: Convert to fraction form
    135.73/203.63 = 78.02/x
  3. Step 3: Cross multiply
    135.73x = 203.63 × 78.02
  4. Step 4: Simplify right side
    135.73x = 15,887.21
  5. Step 5: Solve for x
    x = 15,887.21/135.73
  6. Step 6: Final answer
    x = 117.05

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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.