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Finding the Fourth Proportional to 105.64, 145.75 and 66.82

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Solution

The fourth proportional to 105.64, 145.75 and 66.82 is: 92.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.64 : 145.75 = 66.82 : x
  2. Step 2: Convert to fraction form
    105.64/145.75 = 66.82/x
  3. Step 3: Cross multiply
    105.64x = 145.75 × 66.82
  4. Step 4: Simplify right side
    105.64x = 9,739.02
  5. Step 5: Solve for x
    x = 9,739.02/105.64
  6. Step 6: Final answer
    x = 92.19

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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.