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Finding the Fourth Proportional to 48.28, 66.60 and 30.80

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Solution

The fourth proportional to 48.28, 66.60 and 30.80 is: 42.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.28 : 66.60 = 30.80 : x
  2. Step 2: Convert to fraction form
    48.28/66.60 = 30.80/x
  3. Step 3: Cross multiply
    48.28x = 66.60 × 30.80
  4. Step 4: Simplify right side
    48.28x = 2,051.28
  5. Step 5: Solve for x
    x = 2,051.28/48.28
  6. Step 6: Final answer
    x = 42.49

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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.