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Finding the Fourth Proportional to 61.78, 85.24 and 37.22

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Solution

The fourth proportional to 61.78, 85.24 and 37.22 is: 51.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.78 : 85.24 = 37.22 : x
  2. Step 2: Convert to fraction form
    61.78/85.24 = 37.22/x
  3. Step 3: Cross multiply
    61.78x = 85.24 × 37.22
  4. Step 4: Simplify right side
    61.78x = 3,172.21
  5. Step 5: Solve for x
    x = 3,172.21/61.78
  6. Step 6: Final answer
    x = 51.35

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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.