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Finding the Fourth Proportional to 67.45, 101.05 and 53.09

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Solution

The fourth proportional to 67.45, 101.05 and 53.09 is: 79.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.45 : 101.05 = 53.09 : x
  2. Step 2: Convert to fraction form
    67.45/101.05 = 53.09/x
  3. Step 3: Cross multiply
    67.45x = 101.05 × 53.09
  4. Step 4: Simplify right side
    67.45x = 5,364.74
  5. Step 5: Solve for x
    x = 5,364.74/67.45
  6. Step 6: Final answer
    x = 79.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.