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Finding the Fourth Proportional to 34.13, 47.00 and 32.99

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Solution

The fourth proportional to 34.13, 47.00 and 32.99 is: 45.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.13 : 47.00 = 32.99 : x
  2. Step 2: Convert to fraction form
    34.13/47.00 = 32.99/x
  3. Step 3: Cross multiply
    34.13x = 47.00 × 32.99
  4. Step 4: Simplify right side
    34.13x = 1,550.46
  5. Step 5: Solve for x
    x = 1,550.46/34.13
  6. Step 6: Final answer
    x = 45.43

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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.