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Finding the Fourth Proportional to 92.45, 138.57 and 41.06

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Solution

The fourth proportional to 92.45, 138.57 and 41.06 is: 61.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.45 : 138.57 = 41.06 : x
  2. Step 2: Convert to fraction form
    92.45/138.57 = 41.06/x
  3. Step 3: Cross multiply
    92.45x = 138.57 × 41.06
  4. Step 4: Simplify right side
    92.45x = 5,689.68
  5. Step 5: Solve for x
    x = 5,689.68/92.45
  6. Step 6: Final answer
    x = 61.54

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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.