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Finding the Fourth Proportional to 124.44, 186.69 and 37.78

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Solution

The fourth proportional to 124.44, 186.69 and 37.78 is: 56.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.44 : 186.69 = 37.78 : x
  2. Step 2: Convert to fraction form
    124.44/186.69 = 37.78/x
  3. Step 3: Cross multiply
    124.44x = 186.69 × 37.78
  4. Step 4: Simplify right side
    124.44x = 7,052.03
  5. Step 5: Solve for x
    x = 7,052.03/124.44
  6. Step 6: Final answer
    x = 56.67

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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.