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Finding the Fourth Proportional to 40.14, 60.26 and 24.75

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Solution

The fourth proportional to 40.14, 60.26 and 24.75 is: 37.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.14 : 60.26 = 24.75 : x
  2. Step 2: Convert to fraction form
    40.14/60.26 = 24.75/x
  3. Step 3: Cross multiply
    40.14x = 60.26 × 24.75
  4. Step 4: Simplify right side
    40.14x = 1,491.31
  5. Step 5: Solve for x
    x = 1,491.31/40.14
  6. Step 6: Final answer
    x = 37.15

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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.