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Finding the Fourth Proportional to 28.99, 40.02 and 22.83

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Solution

The fourth proportional to 28.99, 40.02 and 22.83 is: 31.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.99 : 40.02 = 22.83 : x
  2. Step 2: Convert to fraction form
    28.99/40.02 = 22.83/x
  3. Step 3: Cross multiply
    28.99x = 40.02 × 22.83
  4. Step 4: Simplify right side
    28.99x = 913.66
  5. Step 5: Solve for x
    x = 913.66/28.99
  6. Step 6: Final answer
    x = 31.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.