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Finding the Fourth Proportional to 139.49, 192.63 and 89.78

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Solution

The fourth proportional to 139.49, 192.63 and 89.78 is: 123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.49 : 192.63 = 89.78 : x
  2. Step 2: Convert to fraction form
    139.49/192.63 = 89.78/x
  3. Step 3: Cross multiply
    139.49x = 192.63 × 89.78
  4. Step 4: Simplify right side
    139.49x = 17,295.02
  5. Step 5: Solve for x
    x = 17,295.02/139.49
  6. Step 6: Final answer
    x = 123.99

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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.