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Finding the Fourth Proportional to 134.92, 185.64 and 105.76

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Solution

The fourth proportional to 134.92, 185.64 and 105.76 is: 145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.92 : 185.64 = 105.76 : x
  2. Step 2: Convert to fraction form
    134.92/185.64 = 105.76/x
  3. Step 3: Cross multiply
    134.92x = 185.64 × 105.76
  4. Step 4: Simplify right side
    134.92x = 19,633.29
  5. Step 5: Solve for x
    x = 19,633.29/134.92
  6. Step 6: Final answer
    x = 145.52

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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.