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Finding the Fourth Proportional to 139.65, 192.66 and 112.32

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Solution

The fourth proportional to 139.65, 192.66 and 112.32 is: 154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.65 : 192.66 = 112.32 : x
  2. Step 2: Convert to fraction form
    139.65/192.66 = 112.32/x
  3. Step 3: Cross multiply
    139.65x = 192.66 × 112.32
  4. Step 4: Simplify right side
    139.65x = 21,639.57
  5. Step 5: Solve for x
    x = 21,639.57/139.65
  6. Step 6: Final answer
    x = 154.96

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