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Finding the Fourth Proportional to 25.15, 37.64 and 14.33

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Solution

The fourth proportional to 25.15, 37.64 and 14.33 is: 21.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.15 : 37.64 = 14.33 : x
  2. Step 2: Convert to fraction form
    25.15/37.64 = 14.33/x
  3. Step 3: Cross multiply
    25.15x = 37.64 × 14.33
  4. Step 4: Simplify right side
    25.15x = 539.42
  5. Step 5: Solve for x
    x = 539.42/25.15
  6. Step 6: Final answer
    x = 21.44

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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.