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Finding the Fourth Proportional to 61.91, 85.37 and 52.68

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Solution

The fourth proportional to 61.91, 85.37 and 52.68 is: 72.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.91 : 85.37 = 52.68 : x
  2. Step 2: Convert to fraction form
    61.91/85.37 = 52.68/x
  3. Step 3: Cross multiply
    61.91x = 85.37 × 52.68
  4. Step 4: Simplify right side
    61.91x = 4,497.29
  5. Step 5: Solve for x
    x = 4,497.29/61.91
  6. Step 6: Final answer
    x = 72.64

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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.