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Finding the Fourth Proportional to 139.40, 192.28 and 97.88

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Solution

The fourth proportional to 139.40, 192.28 and 97.88 is: 135.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.40 : 192.28 = 97.88 : x
  2. Step 2: Convert to fraction form
    139.40/192.28 = 97.88/x
  3. Step 3: Cross multiply
    139.40x = 192.28 × 97.88
  4. Step 4: Simplify right side
    139.40x = 18,820.37
  5. Step 5: Solve for x
    x = 18,820.37/139.40
  6. Step 6: Final answer
    x = 135.01

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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.