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Finding the Fourth Proportional to 61.95, 85.43 and 41.23

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Solution

The fourth proportional to 61.95, 85.43 and 41.23 is: 56.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.95 : 85.43 = 41.23 : x
  2. Step 2: Convert to fraction form
    61.95/85.43 = 41.23/x
  3. Step 3: Cross multiply
    61.95x = 85.43 × 41.23
  4. Step 4: Simplify right side
    61.95x = 3,522.28
  5. Step 5: Solve for x
    x = 3,522.28/61.95
  6. Step 6: Final answer
    x = 56.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.