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Finding the Fourth Proportional to 49.05, 67.50 and 47.00

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Solution

The fourth proportional to 49.05, 67.50 and 47.00 is: 64.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.05 : 67.50 = 47.00 : x
  2. Step 2: Convert to fraction form
    49.05/67.50 = 47.00/x
  3. Step 3: Cross multiply
    49.05x = 67.50 × 47.00
  4. Step 4: Simplify right side
    49.05x = 3,172.67
  5. Step 5: Solve for x
    x = 3,172.67/49.05
  6. Step 6: Final answer
    x = 64.68

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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.