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Finding the Fourth Proportional to 12.37, 18.54 and 4.35

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Solution

The fourth proportional to 12.37, 18.54 and 4.35 is: 6.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.37 : 18.54 = 4.35 : x
  2. Step 2: Convert to fraction form
    12.37/18.54 = 4.35/x
  3. Step 3: Cross multiply
    12.37x = 18.54 × 4.35
  4. Step 4: Simplify right side
    12.37x = 80.65
  5. Step 5: Solve for x
    x = 80.65/12.37
  6. Step 6: Final answer
    x = 6.52

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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.