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Finding the Fourth Proportional to 44.38, 66.59 and 23.02

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Solution

The fourth proportional to 44.38, 66.59 and 23.02 is: 34.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.38 : 66.59 = 23.02 : x
  2. Step 2: Convert to fraction form
    44.38/66.59 = 23.02/x
  3. Step 3: Cross multiply
    44.38x = 66.59 × 23.02
  4. Step 4: Simplify right side
    44.38x = 1,532.90
  5. Step 5: Solve for x
    x = 1,532.90/44.38
  6. Step 6: Final answer
    x = 34.54

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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.