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Finding the Fourth Proportional to 44.69, 66.88 and 37.57

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Solution

The fourth proportional to 44.69, 66.88 and 37.57 is: 56.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.69 : 66.88 = 37.57 : x
  2. Step 2: Convert to fraction form
    44.69/66.88 = 37.57/x
  3. Step 3: Cross multiply
    44.69x = 66.88 × 37.57
  4. Step 4: Simplify right side
    44.69x = 2,512.68
  5. Step 5: Solve for x
    x = 2,512.68/44.69
  6. Step 6: Final answer
    x = 56.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.