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Finding the Fourth Proportional to 67.65, 93.48 and 51.26

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Solution

The fourth proportional to 67.65, 93.48 and 51.26 is: 70.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.65 : 93.48 = 51.26 : x
  2. Step 2: Convert to fraction form
    67.65/93.48 = 51.26/x
  3. Step 3: Cross multiply
    67.65x = 93.48 × 51.26
  4. Step 4: Simplify right side
    67.65x = 4,791.32
  5. Step 5: Solve for x
    x = 4,791.32/67.65
  6. Step 6: Final answer
    x = 70.83

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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.