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Finding the Fourth Proportional to 44.65, 66.88 and 28.59

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Solution

The fourth proportional to 44.65, 66.88 and 28.59 is: 42.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.65 : 66.88 = 28.59 : x
  2. Step 2: Convert to fraction form
    44.65/66.88 = 28.59/x
  3. Step 3: Cross multiply
    44.65x = 66.88 × 28.59
  4. Step 4: Simplify right side
    44.65x = 1,912.10
  5. Step 5: Solve for x
    x = 1,912.10/44.65
  6. Step 6: Final answer
    x = 42.82

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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.