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Finding the Fourth Proportional to 44.46, 61.36 and 27.00

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Solution

The fourth proportional to 44.46, 61.36 and 27.00 is: 37.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.46 : 61.36 = 27.00 : x
  2. Step 2: Convert to fraction form
    44.46/61.36 = 27.00/x
  3. Step 3: Cross multiply
    44.46x = 61.36 × 27.00
  4. Step 4: Simplify right side
    44.46x = 1,656.39
  5. Step 5: Solve for x
    x = 1,656.39/44.46
  6. Step 6: Final answer
    x = 37.25

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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.