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Finding the Fourth Proportional to 25.40, 35.02 and 24.96

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Solution

The fourth proportional to 25.40, 35.02 and 24.96 is: 34.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.40 : 35.02 = 24.96 : x
  2. Step 2: Convert to fraction form
    25.40/35.02 = 24.96/x
  3. Step 3: Cross multiply
    25.40x = 35.02 × 24.96
  4. Step 4: Simplify right side
    25.40x = 874.10
  5. Step 5: Solve for x
    x = 874.10/25.40
  6. Step 6: Final answer
    x = 34.41

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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.