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Finding the Fourth Proportional to 66.23, 91.43 and 44.47

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Solution

The fourth proportional to 66.23, 91.43 and 44.47 is: 61.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.23 : 91.43 = 44.47 : x
  2. Step 2: Convert to fraction form
    66.23/91.43 = 44.47/x
  3. Step 3: Cross multiply
    66.23x = 91.43 × 44.47
  4. Step 4: Simplify right side
    66.23x = 4,065.44
  5. Step 5: Solve for x
    x = 4,065.44/66.23
  6. Step 6: Final answer
    x = 61.38

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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.