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Finding the Fourth Proportional to 61.61, 92.43 and 30.78

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Solution

The fourth proportional to 61.61, 92.43 and 30.78 is: 46.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.61 : 92.43 = 30.78 : x
  2. Step 2: Convert to fraction form
    61.61/92.43 = 30.78/x
  3. Step 3: Cross multiply
    61.61x = 92.43 × 30.78
  4. Step 4: Simplify right side
    61.61x = 2,845.00
  5. Step 5: Solve for x
    x = 2,845.00/61.61
  6. Step 6: Final answer
    x = 46.18

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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.