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Finding the Fourth Proportional to 28.99, 43.26 and 24.74

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Solution

The fourth proportional to 28.99, 43.26 and 24.74 is: 36.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.99 : 43.26 = 24.74 : x
  2. Step 2: Convert to fraction form
    28.99/43.26 = 24.74/x
  3. Step 3: Cross multiply
    28.99x = 43.26 × 24.74
  4. Step 4: Simplify right side
    28.99x = 1,070.11
  5. Step 5: Solve for x
    x = 1,070.11/28.99
  6. Step 6: Final answer
    x = 36.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.