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Finding the Fourth Proportional to 48.67, 72.96 and 22.99

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Solution

The fourth proportional to 48.67, 72.96 and 22.99 is: 34.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.67 : 72.96 = 22.99 : x
  2. Step 2: Convert to fraction form
    48.67/72.96 = 22.99/x
  3. Step 3: Cross multiply
    48.67x = 72.96 × 22.99
  4. Step 4: Simplify right side
    48.67x = 1,677.25
  5. Step 5: Solve for x
    x = 1,677.25/48.67
  6. Step 6: Final answer
    x = 34.46

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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.