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Finding the Fourth Proportional to 25.50, 38.07 and 21.70

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Solution

The fourth proportional to 25.50, 38.07 and 21.70 is: 32.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.50 : 38.07 = 21.70 : x
  2. Step 2: Convert to fraction form
    25.50/38.07 = 21.70/x
  3. Step 3: Cross multiply
    25.50x = 38.07 × 21.70
  4. Step 4: Simplify right side
    25.50x = 826.06
  5. Step 5: Solve for x
    x = 826.06/25.50
  6. Step 6: Final answer
    x = 32.39

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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.