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Finding the Fourth Proportional to 41.04, 56.50 and 35.84

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Solution

The fourth proportional to 41.04, 56.50 and 35.84 is: 49.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.04 : 56.50 = 35.84 : x
  2. Step 2: Convert to fraction form
    41.04/56.50 = 35.84/x
  3. Step 3: Cross multiply
    41.04x = 56.50 × 35.84
  4. Step 4: Simplify right side
    41.04x = 2,024.96
  5. Step 5: Solve for x
    x = 2,024.96/41.04
  6. Step 6: Final answer
    x = 49.34

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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.