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Finding the Fourth Proportional to 73.86, 101.94 and 49.30

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Solution

The fourth proportional to 73.86, 101.94 and 49.30 is: 68.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.86 : 101.94 = 49.30 : x
  2. Step 2: Convert to fraction form
    73.86/101.94 = 49.30/x
  3. Step 3: Cross multiply
    73.86x = 101.94 × 49.30
  4. Step 4: Simplify right side
    73.86x = 5,025.64
  5. Step 5: Solve for x
    x = 5,025.64/73.86
  6. Step 6: Final answer
    x = 68.04

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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.