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Finding the Fourth Proportional to 32.69, 48.97 and 21.26

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Solution

The fourth proportional to 32.69, 48.97 and 21.26 is: 31.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.69 : 48.97 = 21.26 : x
  2. Step 2: Convert to fraction form
    32.69/48.97 = 21.26/x
  3. Step 3: Cross multiply
    32.69x = 48.97 × 21.26
  4. Step 4: Simplify right side
    32.69x = 1,041.25
  5. Step 5: Solve for x
    x = 1,041.25/32.69
  6. Step 6: Final answer
    x = 31.85

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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.