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Finding the Fourth Proportional to 138.12, 189.36 and 135.99

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Solution

The fourth proportional to 138.12, 189.36 and 135.99 is: 186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.12 : 189.36 = 135.99 : x
  2. Step 2: Convert to fraction form
    138.12/189.36 = 135.99/x
  3. Step 3: Cross multiply
    138.12x = 189.36 × 135.99
  4. Step 4: Simplify right side
    138.12x = 25,751.07
  5. Step 5: Solve for x
    x = 25,751.07/138.12
  6. Step 6: Final answer
    x = 186.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.