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Finding the Fourth Proportional to 61.71, 92.34 and 41.37

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Solution

The fourth proportional to 61.71, 92.34 and 41.37 is: 61.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.71 : 92.34 = 41.37 : x
  2. Step 2: Convert to fraction form
    61.71/92.34 = 41.37/x
  3. Step 3: Cross multiply
    61.71x = 92.34 × 41.37
  4. Step 4: Simplify right side
    61.71x = 3,820.11
  5. Step 5: Solve for x
    x = 3,820.11/61.71
  6. Step 6: Final answer
    x = 61.90

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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.