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Finding the Fourth Proportional to 74.46, 102.75 and 46.83

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Solution

The fourth proportional to 74.46, 102.75 and 46.83 is: 64.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.46 : 102.75 = 46.83 : x
  2. Step 2: Convert to fraction form
    74.46/102.75 = 46.83/x
  3. Step 3: Cross multiply
    74.46x = 102.75 × 46.83
  4. Step 4: Simplify right side
    74.46x = 4,811.78
  5. Step 5: Solve for x
    x = 4,811.78/74.46
  6. Step 6: Final answer
    x = 64.62

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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.