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Finding the Fourth Proportional to 8.64, 13.01 and 8.10

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Solution

The fourth proportional to 8.64, 13.01 and 8.10 is: 12.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.64 : 13.01 = 8.10 : x
  2. Step 2: Convert to fraction form
    8.64/13.01 = 8.10/x
  3. Step 3: Cross multiply
    8.64x = 13.01 × 8.10
  4. Step 4: Simplify right side
    8.64x = 105.34
  5. Step 5: Solve for x
    x = 105.34/8.64
  6. Step 6: Final answer
    x = 12.19

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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.