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Finding the Fourth Proportional to 139.24, 192.18 and 102.52

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Solution

The fourth proportional to 139.24, 192.18 and 102.52 is: 141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.24 : 192.18 = 102.52 : x
  2. Step 2: Convert to fraction form
    139.24/192.18 = 102.52/x
  3. Step 3: Cross multiply
    139.24x = 192.18 × 102.52
  4. Step 4: Simplify right side
    139.24x = 19,702.29
  5. Step 5: Solve for x
    x = 19,702.29/139.24
  6. Step 6: Final answer
    x = 141.50

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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.