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Finding the Fourth Proportional to 105.56, 145.76 and 68.76

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Solution

The fourth proportional to 105.56, 145.76 and 68.76 is: 94.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.56 : 145.76 = 68.76 : x
  2. Step 2: Convert to fraction form
    105.56/145.76 = 68.76/x
  3. Step 3: Cross multiply
    105.56x = 145.76 × 68.76
  4. Step 4: Simplify right side
    105.56x = 10,022.11
  5. Step 5: Solve for x
    x = 10,022.11/105.56
  6. Step 6: Final answer
    x = 94.95

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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.