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Finding the Fourth Proportional to 8.72, 13.07 and 8.40

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Solution

The fourth proportional to 8.72, 13.07 and 8.40 is: 12.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.72 : 13.07 = 8.40 : x
  2. Step 2: Convert to fraction form
    8.72/13.07 = 8.40/x
  3. Step 3: Cross multiply
    8.72x = 13.07 × 8.40
  4. Step 4: Simplify right side
    8.72x = 109.81
  5. Step 5: Solve for x
    x = 109.81/8.72
  6. Step 6: Final answer
    x = 12.59

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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.