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Finding the Fourth Proportional to 21.75, 30 and 17.08

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Solution

The fourth proportional to 21.75, 30 and 17.08 is: 23.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.75 : 30 = 17.08 : x
  2. Step 2: Convert to fraction form
    21.75/30 = 17.08/x
  3. Step 3: Cross multiply
    21.75x = 30 × 17.08
  4. Step 4: Simplify right side
    21.75x = 512.40
  5. Step 5: Solve for x
    x = 512.40/21.75
  6. Step 6: Final answer
    x = 23.56

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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.