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Finding the Fourth Proportional to 134.91, 186.23 and 105.40

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Solution

The fourth proportional to 134.91, 186.23 and 105.40 is: 145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.91 : 186.23 = 105.40 : x
  2. Step 2: Convert to fraction form
    134.91/186.23 = 105.40/x
  3. Step 3: Cross multiply
    134.91x = 186.23 × 105.40
  4. Step 4: Simplify right side
    134.91x = 19,628.64
  5. Step 5: Solve for x
    x = 19,628.64/134.91
  6. Step 6: Final answer
    x = 145.49

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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.