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Finding the Fourth Proportional to 48.02, 66.21 and 31.41

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Solution

The fourth proportional to 48.02, 66.21 and 31.41 is: 43.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.02 : 66.21 = 31.41 : x
  2. Step 2: Convert to fraction form
    48.02/66.21 = 31.41/x
  3. Step 3: Cross multiply
    48.02x = 66.21 × 31.41
  4. Step 4: Simplify right side
    48.02x = 2,079.66
  5. Step 5: Solve for x
    x = 2,079.66/48.02
  6. Step 6: Final answer
    x = 43.31

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