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Finding the Fourth Proportional to 17.70, 24.38 and 15.40

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Solution

The fourth proportional to 17.70, 24.38 and 15.40 is: 21.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.70 : 24.38 = 15.40 : x
  2. Step 2: Convert to fraction form
    17.70/24.38 = 15.40/x
  3. Step 3: Cross multiply
    17.70x = 24.38 × 15.40
  4. Step 4: Simplify right side
    17.70x = 375.31
  5. Step 5: Solve for x
    x = 375.31/17.70
  6. Step 6: Final answer
    x = 21.20

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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.