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Finding the Fourth Proportional to 7.06, 10.60 and 4.06

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Solution

The fourth proportional to 7.06, 10.60 and 4.06 is: 6.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.06 : 10.60 = 4.06 : x
  2. Step 2: Convert to fraction form
    7.06/10.60 = 4.06/x
  3. Step 3: Cross multiply
    7.06x = 10.60 × 4.06
  4. Step 4: Simplify right side
    7.06x = 42.96
  5. Step 5: Solve for x
    x = 42.96/7.06
  6. Step 6: Final answer
    x = 6.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.