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Finding the Fourth Proportional to 61.83, 85.28 and 54.09

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Solution

The fourth proportional to 61.83, 85.28 and 54.09 is: 74.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.83 : 85.28 = 54.09 : x
  2. Step 2: Convert to fraction form
    61.83/85.28 = 54.09/x
  3. Step 3: Cross multiply
    61.83x = 85.28 × 54.09
  4. Step 4: Simplify right side
    61.83x = 4,612.52
  5. Step 5: Solve for x
    x = 4,612.52/61.83
  6. Step 6: Final answer
    x = 74.60

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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.