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Finding the Fourth Proportional to 32.12, 48.09 and 30.37

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Solution

The fourth proportional to 32.12, 48.09 and 30.37 is: 45.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.12 : 48.09 = 30.37 : x
  2. Step 2: Convert to fraction form
    32.12/48.09 = 30.37/x
  3. Step 3: Cross multiply
    32.12x = 48.09 × 30.37
  4. Step 4: Simplify right side
    32.12x = 1,460.49
  5. Step 5: Solve for x
    x = 1,460.49/32.12
  6. Step 6: Final answer
    x = 45.47

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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.