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Finding the Fourth Proportional to 21.84, 32.40 and 21.78

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Solution

The fourth proportional to 21.84, 32.40 and 21.78 is: 32.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.84 : 32.40 = 21.78 : x
  2. Step 2: Convert to fraction form
    21.84/32.40 = 21.78/x
  3. Step 3: Cross multiply
    21.84x = 32.40 × 21.78
  4. Step 4: Simplify right side
    21.84x = 705.67
  5. Step 5: Solve for x
    x = 705.67/21.84
  6. Step 6: Final answer
    x = 32.31

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.