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Finding the Fourth Proportional to 105.63, 145.67 and 66.75

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Solution

The fourth proportional to 105.63, 145.67 and 66.75 is: 92.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.63 : 145.67 = 66.75 : x
  2. Step 2: Convert to fraction form
    105.63/145.67 = 66.75/x
  3. Step 3: Cross multiply
    105.63x = 145.67 × 66.75
  4. Step 4: Simplify right side
    105.63x = 9,723.14
  5. Step 5: Solve for x
    x = 9,723.14/105.63
  6. Step 6: Final answer
    x = 92.05

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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.