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Finding the Fourth Proportional to 135.90, 187.83 and 114.14

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Solution

The fourth proportional to 135.90, 187.83 and 114.14 is: 157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.90 : 187.83 = 114.14 : x
  2. Step 2: Convert to fraction form
    135.90/187.83 = 114.14/x
  3. Step 3: Cross multiply
    135.90x = 187.83 × 114.14
  4. Step 4: Simplify right side
    135.90x = 21,438.92
  5. Step 5: Solve for x
    x = 21,438.92/135.90
  6. Step 6: Final answer
    x = 157.76

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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.