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Finding the Fourth Proportional to 124.67, 186.06 and 111

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Solution

The fourth proportional to 124.67, 186.06 and 111 is: 165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.67 : 186.06 = 111 : x
  2. Step 2: Convert to fraction form
    124.67/186.06 = 111/x
  3. Step 3: Cross multiply
    124.67x = 186.06 × 111
  4. Step 4: Simplify right side
    124.67x = 20,652.66
  5. Step 5: Solve for x
    x = 20,652.66/124.67
  6. Step 6: Final answer
    x = 165.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.