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Finding the Fourth Proportional to 137.09, 189.14 and 102.06

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Solution

The fourth proportional to 137.09, 189.14 and 102.06 is: 140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.09 : 189.14 = 102.06 : x
  2. Step 2: Convert to fraction form
    137.09/189.14 = 102.06/x
  3. Step 3: Cross multiply
    137.09x = 189.14 × 102.06
  4. Step 4: Simplify right side
    137.09x = 19,303.12
  5. Step 5: Solve for x
    x = 19,303.12/137.09
  6. Step 6: Final answer
    x = 140.80

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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.