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Finding the Fourth Proportional to 47.05, 64.89 and 29.80

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Solution

The fourth proportional to 47.05, 64.89 and 29.80 is: 41.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.05 : 64.89 = 29.80 : x
  2. Step 2: Convert to fraction form
    47.05/64.89 = 29.80/x
  3. Step 3: Cross multiply
    47.05x = 64.89 × 29.80
  4. Step 4: Simplify right side
    47.05x = 1,933.72
  5. Step 5: Solve for x
    x = 1,933.72/47.05
  6. Step 6: Final answer
    x = 41.10

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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.