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Finding the Fourth Proportional to 67.77, 93.57 and 49.40

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Solution

The fourth proportional to 67.77, 93.57 and 49.40 is: 68.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.77 : 93.57 = 49.40 : x
  2. Step 2: Convert to fraction form
    67.77/93.57 = 49.40/x
  3. Step 3: Cross multiply
    67.77x = 93.57 × 49.40
  4. Step 4: Simplify right side
    67.77x = 4,622.36
  5. Step 5: Solve for x
    x = 4,622.36/67.77
  6. Step 6: Final answer
    x = 68.21

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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.