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Finding the Fourth Proportional to 30.49, 45.63 and 25.90

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Solution

The fourth proportional to 30.49, 45.63 and 25.90 is: 38.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.49 : 45.63 = 25.90 : x
  2. Step 2: Convert to fraction form
    30.49/45.63 = 25.90/x
  3. Step 3: Cross multiply
    30.49x = 45.63 × 25.90
  4. Step 4: Simplify right side
    30.49x = 1,181.70
  5. Step 5: Solve for x
    x = 1,181.70/30.49
  6. Step 6: Final answer
    x = 38.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.