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Finding the Fourth Proportional to 138.60, 189.77 and 138.60

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Solution

The fourth proportional to 138.60, 189.77 and 138.60 is: 189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.60 : 189.77 = 138.60 : x
  2. Step 2: Convert to fraction form
    138.60/189.77 = 138.60/x
  3. Step 3: Cross multiply
    138.60x = 189.77 × 138.60
  4. Step 4: Simplify right side
    138.60x = 26,302.12
  5. Step 5: Solve for x
    x = 26,302.12/138.60
  6. Step 6: Final answer
    x = 189.77

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Why These Related Problems?

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