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Finding the Fourth Proportional to 25.29, 35.06 and 24.54

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Solution

The fourth proportional to 25.29, 35.06 and 24.54 is: 34.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.29 : 35.06 = 24.54 : x
  2. Step 2: Convert to fraction form
    25.29/35.06 = 24.54/x
  3. Step 3: Cross multiply
    25.29x = 35.06 × 24.54
  4. Step 4: Simplify right side
    25.29x = 860.25
  5. Step 5: Solve for x
    x = 860.25/25.29
  6. Step 6: Final answer
    x = 34.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.