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Finding the Fourth Proportional to 139.65, 192.71 and 76.63

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Solution

The fourth proportional to 139.65, 192.71 and 76.63 is: 105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.65 : 192.71 = 76.63 : x
  2. Step 2: Convert to fraction form
    139.65/192.71 = 76.63/x
  3. Step 3: Cross multiply
    139.65x = 192.71 × 76.63
  4. Step 4: Simplify right side
    139.65x = 14,767.08
  5. Step 5: Solve for x
    x = 14,767.08/139.65
  6. Step 6: Final answer
    x = 105.74

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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.