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Finding the Fourth Proportional to 105.71, 145.82 and 66.36

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Solution

The fourth proportional to 105.71, 145.82 and 66.36 is: 91.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.71 : 145.82 = 66.36 : x
  2. Step 2: Convert to fraction form
    105.71/145.82 = 66.36/x
  3. Step 3: Cross multiply
    105.71x = 145.82 × 66.36
  4. Step 4: Simplify right side
    105.71x = 9,676.62
  5. Step 5: Solve for x
    x = 9,676.62/105.71
  6. Step 6: Final answer
    x = 91.54

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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.