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Finding the Fourth Proportional to 92.49, 139.36 and 76.59

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Solution

The fourth proportional to 92.49, 139.36 and 76.59 is: 115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.49 : 139.36 = 76.59 : x
  2. Step 2: Convert to fraction form
    92.49/139.36 = 76.59/x
  3. Step 3: Cross multiply
    92.49x = 139.36 × 76.59
  4. Step 4: Simplify right side
    92.49x = 10,674.12
  5. Step 5: Solve for x
    x = 10,674.12/92.49
  6. Step 6: Final answer
    x = 115.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.