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Finding the Fourth Proportional to 29.07, 43.61 and 9.82

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Solution

The fourth proportional to 29.07, 43.61 and 9.82 is: 14.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.07 : 43.61 = 9.82 : x
  2. Step 2: Convert to fraction form
    29.07/43.61 = 9.82/x
  3. Step 3: Cross multiply
    29.07x = 43.61 × 9.82
  4. Step 4: Simplify right side
    29.07x = 427.98
  5. Step 5: Solve for x
    x = 427.98/29.07
  6. Step 6: Final answer
    x = 14.72

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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.