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Finding the Fourth Proportional to 67.36, 92.93 and 53.50

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Solution

The fourth proportional to 67.36, 92.93 and 53.50 is: 73.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.36 : 92.93 = 53.50 : x
  2. Step 2: Convert to fraction form
    67.36/92.93 = 53.50/x
  3. Step 3: Cross multiply
    67.36x = 92.93 × 53.50
  4. Step 4: Simplify right side
    67.36x = 4,971.73
  5. Step 5: Solve for x
    x = 4,971.73/67.36
  6. Step 6: Final answer
    x = 73.81

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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.