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Finding the Fourth Proportional to 139.48, 192.54 and 84.19

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Solution

The fourth proportional to 139.48, 192.54 and 84.19 is: 116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.48 : 192.54 = 84.19 : x
  2. Step 2: Convert to fraction form
    139.48/192.54 = 84.19/x
  3. Step 3: Cross multiply
    139.48x = 192.54 × 84.19
  4. Step 4: Simplify right side
    139.48x = 16,209.94
  5. Step 5: Solve for x
    x = 16,209.94/139.48
  6. Step 6: Final answer
    x = 116.22

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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.