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Finding the Fourth Proportional to 137.02, 188.96 and 102.14

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Solution

The fourth proportional to 137.02, 188.96 and 102.14 is: 140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.02 : 188.96 = 102.14 : x
  2. Step 2: Convert to fraction form
    137.02/188.96 = 102.14/x
  3. Step 3: Cross multiply
    137.02x = 188.96 × 102.14
  4. Step 4: Simplify right side
    137.02x = 19,298.92
  5. Step 5: Solve for x
    x = 19,298.92/137.02
  6. Step 6: Final answer
    x = 140.85

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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.