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Finding the Fourth Proportional to 61.61, 92.34 and 31.19

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Solution

The fourth proportional to 61.61, 92.34 and 31.19 is: 46.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.61 : 92.34 = 31.19 : x
  2. Step 2: Convert to fraction form
    61.61/92.34 = 31.19/x
  3. Step 3: Cross multiply
    61.61x = 92.34 × 31.19
  4. Step 4: Simplify right side
    61.61x = 2,879.62
  5. Step 5: Solve for x
    x = 2,879.62/61.61
  6. Step 6: Final answer
    x = 46.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.