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Finding the Fourth Proportional to 135.01, 186.08 and 105.45

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Solution

The fourth proportional to 135.01, 186.08 and 105.45 is: 145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.01 : 186.08 = 105.45 : x
  2. Step 2: Convert to fraction form
    135.01/186.08 = 105.45/x
  3. Step 3: Cross multiply
    135.01x = 186.08 × 105.45
  4. Step 4: Simplify right side
    135.01x = 19,622.14
  5. Step 5: Solve for x
    x = 19,622.14/135.01
  6. Step 6: Final answer
    x = 145.34

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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.