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Finding the Fourth Proportional to 74.63, 102.94 and 49.70

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Solution

The fourth proportional to 74.63, 102.94 and 49.70 is: 68.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.63 : 102.94 = 49.70 : x
  2. Step 2: Convert to fraction form
    74.63/102.94 = 49.70/x
  3. Step 3: Cross multiply
    74.63x = 102.94 × 49.70
  4. Step 4: Simplify right side
    74.63x = 5,116.12
  5. Step 5: Solve for x
    x = 5,116.12/74.63
  6. Step 6: Final answer
    x = 68.56

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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.