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Finding the Fourth Proportional to 21.69, 32.34 and 21.63

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Solution

The fourth proportional to 21.69, 32.34 and 21.63 is: 32.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.69 : 32.34 = 21.63 : x
  2. Step 2: Convert to fraction form
    21.69/32.34 = 21.63/x
  3. Step 3: Cross multiply
    21.69x = 32.34 × 21.63
  4. Step 4: Simplify right side
    21.69x = 699.51
  5. Step 5: Solve for x
    x = 699.51/21.69
  6. Step 6: Final answer
    x = 32.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.