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Finding the Fourth Proportional to 8.23, 12.35 and 7.60

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Solution

The fourth proportional to 8.23, 12.35 and 7.60 is: 11.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.23 : 12.35 = 7.60 : x
  2. Step 2: Convert to fraction form
    8.23/12.35 = 7.60/x
  3. Step 3: Cross multiply
    8.23x = 12.35 × 7.60
  4. Step 4: Simplify right side
    8.23x = 93.86
  5. Step 5: Solve for x
    x = 93.86/8.23
  6. Step 6: Final answer
    x = 11.40

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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.