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Finding the Fourth Proportional to 48.29, 72.45 and 21.22

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Solution

The fourth proportional to 48.29, 72.45 and 21.22 is: 31.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.29 : 72.45 = 21.22 : x
  2. Step 2: Convert to fraction form
    48.29/72.45 = 21.22/x
  3. Step 3: Cross multiply
    48.29x = 72.45 × 21.22
  4. Step 4: Simplify right side
    48.29x = 1,537.21
  5. Step 5: Solve for x
    x = 1,537.21/48.29
  6. Step 6: Final answer
    x = 31.84

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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.