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Finding the Fourth Proportional to 92.49, 138.54 and 61.56

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Solution

The fourth proportional to 92.49, 138.54 and 61.56 is: 92.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.49 : 138.54 = 61.56 : x
  2. Step 2: Convert to fraction form
    92.49/138.54 = 61.56/x
  3. Step 3: Cross multiply
    92.49x = 138.54 × 61.56
  4. Step 4: Simplify right side
    92.49x = 8,528.52
  5. Step 5: Solve for x
    x = 8,528.52/92.49
  6. Step 6: Final answer
    x = 92.21

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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.