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Finding the Fourth Proportional to 66.05, 91.12 and 41.44

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Solution

The fourth proportional to 66.05, 91.12 and 41.44 is: 57.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.05 : 91.12 = 41.44 : x
  2. Step 2: Convert to fraction form
    66.05/91.12 = 41.44/x
  3. Step 3: Cross multiply
    66.05x = 91.12 × 41.44
  4. Step 4: Simplify right side
    66.05x = 3,776.01
  5. Step 5: Solve for x
    x = 3,776.01/66.05
  6. Step 6: Final answer
    x = 57.17

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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.