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Finding the Fourth Proportional to 44.78, 67.08 and 34.64

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Solution

The fourth proportional to 44.78, 67.08 and 34.64 is: 51.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.78 : 67.08 = 34.64 : x
  2. Step 2: Convert to fraction form
    44.78/67.08 = 34.64/x
  3. Step 3: Cross multiply
    44.78x = 67.08 × 34.64
  4. Step 4: Simplify right side
    44.78x = 2,323.65
  5. Step 5: Solve for x
    x = 2,323.65/44.78
  6. Step 6: Final answer
    x = 51.89

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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.