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Finding the Fourth Proportional to 46.56, 69.46 and 40.84

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Solution

The fourth proportional to 46.56, 69.46 and 40.84 is: 60.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.56 : 69.46 = 40.84 : x
  2. Step 2: Convert to fraction form
    46.56/69.46 = 40.84/x
  3. Step 3: Cross multiply
    46.56x = 69.46 × 40.84
  4. Step 4: Simplify right side
    46.56x = 2,836.75
  5. Step 5: Solve for x
    x = 2,836.75/46.56
  6. Step 6: Final answer
    x = 60.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.