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Finding the Fourth Proportional to 125.55, 188.31 and 111.22

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Solution

The fourth proportional to 125.55, 188.31 and 111.22 is: 166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.55 : 188.31 = 111.22 : x
  2. Step 2: Convert to fraction form
    125.55/188.31 = 111.22/x
  3. Step 3: Cross multiply
    125.55x = 188.31 × 111.22
  4. Step 4: Simplify right side
    125.55x = 20,943.84
  5. Step 5: Solve for x
    x = 20,943.84/125.55
  6. Step 6: Final answer
    x = 166.82

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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.