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Finding the Fourth Proportional to 8.10, 12.24 and 7.50

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Solution

The fourth proportional to 8.10, 12.24 and 7.50 is: 11.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.10 : 12.24 = 7.50 : x
  2. Step 2: Convert to fraction form
    8.10/12.24 = 7.50/x
  3. Step 3: Cross multiply
    8.10x = 12.24 × 7.50
  4. Step 4: Simplify right side
    8.10x = 91.76
  5. Step 5: Solve for x
    x = 91.76/8.10
  6. Step 6: Final answer
    x = 11.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.