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Finding the Fourth Proportional to 49.00, 73.84 and 40.63

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Solution

The fourth proportional to 49.00, 73.84 and 40.63 is: 61.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.00 : 73.84 = 40.63 : x
  2. Step 2: Convert to fraction form
    49.00/73.84 = 40.63/x
  3. Step 3: Cross multiply
    49.00x = 73.84 × 40.63
  4. Step 4: Simplify right side
    49.00x = 3,000.02
  5. Step 5: Solve for x
    x = 3,000.02/49.00
  6. Step 6: Final answer
    x = 61.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.