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Finding the Fourth Proportional to 72.10, 98.93 and 67.24

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Solution

The fourth proportional to 72.10, 98.93 and 67.24 is: 92.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.10 : 98.93 = 67.24 : x
  2. Step 2: Convert to fraction form
    72.10/98.93 = 67.24/x
  3. Step 3: Cross multiply
    72.10x = 98.93 × 67.24
  4. Step 4: Simplify right side
    72.10x = 6,652.05
  5. Step 5: Solve for x
    x = 6,652.05/72.10
  6. Step 6: Final answer
    x = 92.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.