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Finding the Fourth Proportional to 8.40, 12.64 and 7.06

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Solution

The fourth proportional to 8.40, 12.64 and 7.06 is: 10.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.40 : 12.64 = 7.06 : x
  2. Step 2: Convert to fraction form
    8.40/12.64 = 7.06/x
  3. Step 3: Cross multiply
    8.40x = 12.64 × 7.06
  4. Step 4: Simplify right side
    8.40x = 89.24
  5. Step 5: Solve for x
    x = 89.24/8.40
  6. Step 6: Final answer
    x = 10.62

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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.