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Finding the Fourth Proportional to 48.02, 66.25 and 30.78

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Solution

The fourth proportional to 48.02, 66.25 and 30.78 is: 42.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.02 : 66.25 = 30.78 : x
  2. Step 2: Convert to fraction form
    48.02/66.25 = 30.78/x
  3. Step 3: Cross multiply
    48.02x = 66.25 × 30.78
  4. Step 4: Simplify right side
    48.02x = 2,039.18
  5. Step 5: Solve for x
    x = 2,039.18/48.02
  6. Step 6: Final answer
    x = 42.47

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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.