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Finding the Fourth Proportional to 73.94, 102.02 and 49.01

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Solution

The fourth proportional to 73.94, 102.02 and 49.01 is: 67.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.94 : 102.02 = 49.01 : x
  2. Step 2: Convert to fraction form
    73.94/102.02 = 49.01/x
  3. Step 3: Cross multiply
    73.94x = 102.02 × 49.01
  4. Step 4: Simplify right side
    73.94x = 4,999.25
  5. Step 5: Solve for x
    x = 4,999.25/73.94
  6. Step 6: Final answer
    x = 67.62

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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.