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Finding the Fourth Proportional to 34.07, 47.00 and 29.53

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Solution

The fourth proportional to 34.07, 47.00 and 29.53 is: 40.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.07 : 47.00 = 29.53 : x
  2. Step 2: Convert to fraction form
    34.07/47.00 = 29.53/x
  3. Step 3: Cross multiply
    34.07x = 47.00 × 29.53
  4. Step 4: Simplify right side
    34.07x = 1,387.87
  5. Step 5: Solve for x
    x = 1,387.87/34.07
  6. Step 6: Final answer
    x = 40.73

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Why These Related Problems?

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