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Finding the Fourth Proportional to 139.32, 192.12 and 102.36

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Solution

The fourth proportional to 139.32, 192.12 and 102.36 is: 141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.32 : 192.12 = 102.36 : x
  2. Step 2: Convert to fraction form
    139.32/192.12 = 102.36/x
  3. Step 3: Cross multiply
    139.32x = 192.12 × 102.36
  4. Step 4: Simplify right side
    139.32x = 19,665.40
  5. Step 5: Solve for x
    x = 19,665.40/139.32
  6. Step 6: Final answer
    x = 141.15

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Why These Related Problems?

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