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Finding the Fourth Proportional to 49.07, 67.70 and 32.74

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Solution

The fourth proportional to 49.07, 67.70 and 32.74 is: 45.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.07 : 67.70 = 32.74 : x
  2. Step 2: Convert to fraction form
    49.07/67.70 = 32.74/x
  3. Step 3: Cross multiply
    49.07x = 67.70 × 32.74
  4. Step 4: Simplify right side
    49.07x = 2,216.41
  5. Step 5: Solve for x
    x = 2,216.41/49.07
  6. Step 6: Final answer
    x = 45.17

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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.