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Finding the Fourth Proportional to 44.78, 61.78 and 26.35

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Solution

The fourth proportional to 44.78, 61.78 and 26.35 is: 36.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.78 : 61.78 = 26.35 : x
  2. Step 2: Convert to fraction form
    44.78/61.78 = 26.35/x
  3. Step 3: Cross multiply
    44.78x = 61.78 × 26.35
  4. Step 4: Simplify right side
    44.78x = 1,627.98
  5. Step 5: Solve for x
    x = 1,627.98/44.78
  6. Step 6: Final answer
    x = 36.36

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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.