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Finding the Fourth Proportional to 34.07, 46.91 and 29.46

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Solution

The fourth proportional to 34.07, 46.91 and 29.46 is: 40.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.07 : 46.91 = 29.46 : x
  2. Step 2: Convert to fraction form
    34.07/46.91 = 29.46/x
  3. Step 3: Cross multiply
    34.07x = 46.91 × 29.46
  4. Step 4: Simplify right side
    34.07x = 1,381.82
  5. Step 5: Solve for x
    x = 1,381.82/34.07
  6. Step 6: Final answer
    x = 40.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.