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Finding the Fourth Proportional to 48.36, 66.75 and 32.80

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Solution

The fourth proportional to 48.36, 66.75 and 32.80 is: 45.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.36 : 66.75 = 32.80 : x
  2. Step 2: Convert to fraction form
    48.36/66.75 = 32.80/x
  3. Step 3: Cross multiply
    48.36x = 66.75 × 32.80
  4. Step 4: Simplify right side
    48.36x = 2,189.40
  5. Step 5: Solve for x
    x = 2,189.40/48.36
  6. Step 6: Final answer
    x = 45.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.