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Finding the Fourth Proportional to 48.36, 72.43 and 31.22

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Solution

The fourth proportional to 48.36, 72.43 and 31.22 is: 46.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.36 : 72.43 = 31.22 : x
  2. Step 2: Convert to fraction form
    48.36/72.43 = 31.22/x
  3. Step 3: Cross multiply
    48.36x = 72.43 × 31.22
  4. Step 4: Simplify right side
    48.36x = 2,261.10
  5. Step 5: Solve for x
    x = 2,261.10/48.36
  6. Step 6: Final answer
    x = 46.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.