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Finding the Fourth Proportional to 135.82, 187.41 and 77.59

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Solution

The fourth proportional to 135.82, 187.41 and 77.59 is: 107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.82 : 187.41 = 77.59 : x
  2. Step 2: Convert to fraction form
    135.82/187.41 = 77.59/x
  3. Step 3: Cross multiply
    135.82x = 187.41 × 77.59
  4. Step 4: Simplify right side
    135.82x = 14,541.14
  5. Step 5: Solve for x
    x = 14,541.14/135.82
  6. Step 6: Final answer
    x = 107.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.