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Finding the Fourth Proportional to 125.66, 188.11 and 109.66

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Solution

The fourth proportional to 125.66, 188.11 and 109.66 is: 164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.66 : 188.11 = 109.66 : x
  2. Step 2: Convert to fraction form
    125.66/188.11 = 109.66/x
  3. Step 3: Cross multiply
    125.66x = 188.11 × 109.66
  4. Step 4: Simplify right side
    125.66x = 20,628.14
  5. Step 5: Solve for x
    x = 20,628.14/125.66
  6. Step 6: Final answer
    x = 164.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.