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Finding the Fourth Proportional to 67.70, 101.93 and 49.82

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Solution

The fourth proportional to 67.70, 101.93 and 49.82 is: 75.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.70 : 101.93 = 49.82 : x
  2. Step 2: Convert to fraction form
    67.70/101.93 = 49.82/x
  3. Step 3: Cross multiply
    67.70x = 101.93 × 49.82
  4. Step 4: Simplify right side
    67.70x = 5,077.39
  5. Step 5: Solve for x
    x = 5,077.39/67.70
  6. Step 6: Final answer
    x = 75.00

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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.