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Finding the Fourth Proportional to 139.65, 192.50 and 106.84

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Solution

The fourth proportional to 139.65, 192.50 and 106.84 is: 147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.65 : 192.50 = 106.84 : x
  2. Step 2: Convert to fraction form
    139.65/192.50 = 106.84/x
  3. Step 3: Cross multiply
    139.65x = 192.50 × 106.84
  4. Step 4: Simplify right side
    139.65x = 20,567.65
  5. Step 5: Solve for x
    x = 20,567.65/139.65
  6. Step 6: Final answer
    x = 147.28

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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.