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Finding the Fourth Proportional to 48.67, 72.97 and 21.64

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Solution

The fourth proportional to 48.67, 72.97 and 21.64 is: 32.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.67 : 72.97 = 21.64 : x
  2. Step 2: Convert to fraction form
    48.67/72.97 = 21.64/x
  3. Step 3: Cross multiply
    48.67x = 72.97 × 21.64
  4. Step 4: Simplify right side
    48.67x = 1,579.07
  5. Step 5: Solve for x
    x = 1,579.07/48.67
  6. Step 6: Final answer
    x = 32.44

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Why These Related Problems?

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