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Finding the Fourth Proportional to 25.10, 37.61 and 14.96

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Solution

The fourth proportional to 25.10, 37.61 and 14.96 is: 22.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.10 : 37.61 = 14.96 : x
  2. Step 2: Convert to fraction form
    25.10/37.61 = 14.96/x
  3. Step 3: Cross multiply
    25.10x = 37.61 × 14.96
  4. Step 4: Simplify right side
    25.10x = 562.38
  5. Step 5: Solve for x
    x = 562.38/25.10
  6. Step 6: Final answer
    x = 22.41

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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.