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Finding the Fourth Proportional to 25.30, 37.99 and 14.62

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Solution

The fourth proportional to 25.30, 37.99 and 14.62 is: 21.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.30 : 37.99 = 14.62 : x
  2. Step 2: Convert to fraction form
    25.30/37.99 = 14.62/x
  3. Step 3: Cross multiply
    25.30x = 37.99 × 14.62
  4. Step 4: Simplify right side
    25.30x = 555.41
  5. Step 5: Solve for x
    x = 555.41/25.30
  6. Step 6: Final answer
    x = 21.95

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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.