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Finding the Fourth Proportional to 139.78, 192.83 and 90.00

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Solution

The fourth proportional to 139.78, 192.83 and 90.00 is: 124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.78 : 192.83 = 90.00 : x
  2. Step 2: Convert to fraction form
    139.78/192.83 = 90.00/x
  3. Step 3: Cross multiply
    139.78x = 192.83 × 90.00
  4. Step 4: Simplify right side
    139.78x = 17,353.74
  5. Step 5: Solve for x
    x = 17,353.74/139.78
  6. Step 6: Final answer
    x = 124.15

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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.