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Finding the Fourth Proportional to 139.57, 192.48 and 102.70

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Solution

The fourth proportional to 139.57, 192.48 and 102.70 is: 141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.57 : 192.48 = 102.70 : x
  2. Step 2: Convert to fraction form
    139.57/192.48 = 102.70/x
  3. Step 3: Cross multiply
    139.57x = 192.48 × 102.70
  4. Step 4: Simplify right side
    139.57x = 19,767.70
  5. Step 5: Solve for x
    x = 19,767.70/139.57
  6. Step 6: Final answer
    x = 141.63

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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.