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Finding the Fourth Proportional to 139.77, 192.87 and 84.50

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Solution

The fourth proportional to 139.77, 192.87 and 84.50 is: 116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.77 : 192.87 = 84.50 : x
  2. Step 2: Convert to fraction form
    139.77/192.87 = 84.50/x
  3. Step 3: Cross multiply
    139.77x = 192.87 × 84.50
  4. Step 4: Simplify right side
    139.77x = 16,297.52
  5. Step 5: Solve for x
    x = 16,297.52/139.77
  6. Step 6: Final answer
    x = 116.60

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Why These Related Problems?

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