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Finding the Fourth Proportional to 21.54, 32.14 and 19.64

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Solution

The fourth proportional to 21.54, 32.14 and 19.64 is: 29.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.54 : 32.14 = 19.64 : x
  2. Step 2: Convert to fraction form
    21.54/32.14 = 19.64/x
  3. Step 3: Cross multiply
    21.54x = 32.14 × 19.64
  4. Step 4: Simplify right side
    21.54x = 631.23
  5. Step 5: Solve for x
    x = 631.23/21.54
  6. Step 6: Final answer
    x = 29.30

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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.