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Finding the Fourth Proportional to 134.74, 185.85 and 107.07

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Solution

The fourth proportional to 134.74, 185.85 and 107.07 is: 147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.74 : 185.85 = 107.07 : x
  2. Step 2: Convert to fraction form
    134.74/185.85 = 107.07/x
  3. Step 3: Cross multiply
    134.74x = 185.85 × 107.07
  4. Step 4: Simplify right side
    134.74x = 19,898.03
  5. Step 5: Solve for x
    x = 19,898.03/134.74
  6. Step 6: Final answer
    x = 147.68

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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.