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Finding the Fourth Proportional to 125.69, 188.59 and 57.22

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Solution

The fourth proportional to 125.69, 188.59 and 57.22 is: 85.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.69 : 188.59 = 57.22 : x
  2. Step 2: Convert to fraction form
    125.69/188.59 = 57.22/x
  3. Step 3: Cross multiply
    125.69x = 188.59 × 57.22
  4. Step 4: Simplify right side
    125.69x = 10,791.12
  5. Step 5: Solve for x
    x = 10,791.12/125.69
  6. Step 6: Final answer
    x = 85.86

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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.