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Finding the Fourth Proportional to 21.64, 32.58 and 20.02

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Solution

The fourth proportional to 21.64, 32.58 and 20.02 is: 30.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.64 : 32.58 = 20.02 : x
  2. Step 2: Convert to fraction form
    21.64/32.58 = 20.02/x
  3. Step 3: Cross multiply
    21.64x = 32.58 × 20.02
  4. Step 4: Simplify right side
    21.64x = 652.25
  5. Step 5: Solve for x
    x = 652.25/21.64
  6. Step 6: Final answer
    x = 30.14

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Why These Related Problems?

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