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Finding the Fourth Proportional to 61.83, 85.41 and 52.71

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Solution

The fourth proportional to 61.83, 85.41 and 52.71 is: 72.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.83 : 85.41 = 52.71 : x
  2. Step 2: Convert to fraction form
    61.83/85.41 = 52.71/x
  3. Step 3: Cross multiply
    61.83x = 85.41 × 52.71
  4. Step 4: Simplify right side
    61.83x = 4,501.96
  5. Step 5: Solve for x
    x = 4,501.96/61.83
  6. Step 6: Final answer
    x = 72.81

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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.