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Finding the Fourth Proportional to 139.55, 192.59 and 116.19

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Solution

The fourth proportional to 139.55, 192.59 and 116.19 is: 160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.55 : 192.59 = 116.19 : x
  2. Step 2: Convert to fraction form
    139.55/192.59 = 116.19/x
  3. Step 3: Cross multiply
    139.55x = 192.59 × 116.19
  4. Step 4: Simplify right side
    139.55x = 22,376.45
  5. Step 5: Solve for x
    x = 22,376.45/139.55
  6. Step 6: Final answer
    x = 160.35

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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.