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Finding the Fourth Proportional to 135.10, 186.37 and 105.54

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Solution

The fourth proportional to 135.10, 186.37 and 105.54 is: 145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.10 : 186.37 = 105.54 : x
  2. Step 2: Convert to fraction form
    135.10/186.37 = 105.54/x
  3. Step 3: Cross multiply
    135.10x = 186.37 × 105.54
  4. Step 4: Simplify right side
    135.10x = 19,669.23
  5. Step 5: Solve for x
    x = 19,669.23/135.10
  6. Step 6: Final answer
    x = 145.59

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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.