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Finding the Fourth Proportional to 76.26, 114.40 and 24.94

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Solution

The fourth proportional to 76.26, 114.40 and 24.94 is: 37.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.26 : 114.40 = 24.94 : x
  2. Step 2: Convert to fraction form
    76.26/114.40 = 24.94/x
  3. Step 3: Cross multiply
    76.26x = 114.40 × 24.94
  4. Step 4: Simplify right side
    76.26x = 2,853.14
  5. Step 5: Solve for x
    x = 2,853.14/76.26
  6. Step 6: Final answer
    x = 37.41

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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.