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Finding the Fourth Proportional to 21.16, 32 and 21.04

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Solution

The fourth proportional to 21.16, 32 and 21.04 is: 31.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.16 : 32 = 21.04 : x
  2. Step 2: Convert to fraction form
    21.16/32 = 21.04/x
  3. Step 3: Cross multiply
    21.16x = 32 × 21.04
  4. Step 4: Simplify right side
    21.16x = 673.28
  5. Step 5: Solve for x
    x = 673.28/21.16
  6. Step 6: Final answer
    x = 31.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.