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Finding the Fourth Proportional to 8.23, 11.35 and 5.80

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Solution

The fourth proportional to 8.23, 11.35 and 5.80 is: 8.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.23 : 11.35 = 5.80 : x
  2. Step 2: Convert to fraction form
    8.23/11.35 = 5.80/x
  3. Step 3: Cross multiply
    8.23x = 11.35 × 5.80
  4. Step 4: Simplify right side
    8.23x = 65.79
  5. Step 5: Solve for x
    x = 65.79/8.23
  6. Step 6: Final answer
    x = 8.00

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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.