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Finding the Fourth Proportional to 20.25, 27.90 and 17.64

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Solution

The fourth proportional to 20.25, 27.90 and 17.64 is: 24.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.25 : 27.90 = 17.64 : x
  2. Step 2: Convert to fraction form
    20.25/27.90 = 17.64/x
  3. Step 3: Cross multiply
    20.25x = 27.90 × 17.64
  4. Step 4: Simplify right side
    20.25x = 492.16
  5. Step 5: Solve for x
    x = 492.16/20.25
  6. Step 6: Final answer
    x = 24.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.