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Finding the Fourth Proportional to 29.06, 43.59 and 7.69

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Solution

The fourth proportional to 29.06, 43.59 and 7.69 is: 11.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.06 : 43.59 = 7.69 : x
  2. Step 2: Convert to fraction form
    29.06/43.59 = 7.69/x
  3. Step 3: Cross multiply
    29.06x = 43.59 × 7.69
  4. Step 4: Simplify right side
    29.06x = 335.13
  5. Step 5: Solve for x
    x = 335.13/29.06
  6. Step 6: Final answer
    x = 11.53

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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.