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Finding the Fourth Proportional to 138.98, 189.85 and 138.08

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Solution

The fourth proportional to 138.98, 189.85 and 138.08 is: 188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.98 : 189.85 = 138.08 : x
  2. Step 2: Convert to fraction form
    138.98/189.85 = 138.08/x
  3. Step 3: Cross multiply
    138.98x = 189.85 × 138.08
  4. Step 4: Simplify right side
    138.98x = 26,214.49
  5. Step 5: Solve for x
    x = 26,214.49/138.98
  6. Step 6: Final answer
    x = 188.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.