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Finding the Fourth Proportional to 21.64, 32.24 and 21.19

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Solution

The fourth proportional to 21.64, 32.24 and 21.19 is: 31.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.64 : 32.24 = 21.19 : x
  2. Step 2: Convert to fraction form
    21.64/32.24 = 21.19/x
  3. Step 3: Cross multiply
    21.64x = 32.24 × 21.19
  4. Step 4: Simplify right side
    21.64x = 683.17
  5. Step 5: Solve for x
    x = 683.17/21.64
  6. Step 6: Final answer
    x = 31.57

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Why These Related Problems?

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