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Finding the Fourth Proportional to 44.68, 61.78 and 38.60

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Solution

The fourth proportional to 44.68, 61.78 and 38.60 is: 53.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.68 : 61.78 = 38.60 : x
  2. Step 2: Convert to fraction form
    44.68/61.78 = 38.60/x
  3. Step 3: Cross multiply
    44.68x = 61.78 × 38.60
  4. Step 4: Simplify right side
    44.68x = 2,384.71
  5. Step 5: Solve for x
    x = 2,384.71/44.68
  6. Step 6: Final answer
    x = 53.37

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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.