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Finding the Fourth Proportional to 47.20, 64.80 and 41.05

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Solution

The fourth proportional to 47.20, 64.80 and 41.05 is: 56.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.20 : 64.80 = 41.05 : x
  2. Step 2: Convert to fraction form
    47.20/64.80 = 41.05/x
  3. Step 3: Cross multiply
    47.20x = 64.80 × 41.05
  4. Step 4: Simplify right side
    47.20x = 2,659.83
  5. Step 5: Solve for x
    x = 2,659.83/47.20
  6. Step 6: Final answer
    x = 56.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.