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Finding the Fourth Proportional to 25.46, 34.95 and 23.30

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Solution

The fourth proportional to 25.46, 34.95 and 23.30 is: 31.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.46 : 34.95 = 23.30 : x
  2. Step 2: Convert to fraction form
    25.46/34.95 = 23.30/x
  3. Step 3: Cross multiply
    25.46x = 34.95 × 23.30
  4. Step 4: Simplify right side
    25.46x = 814.34
  5. Step 5: Solve for x
    x = 814.34/25.46
  6. Step 6: Final answer
    x = 31.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.