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Finding the Fourth Proportional to 69.86, 96.38 and 42.23

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Solution

The fourth proportional to 69.86, 96.38 and 42.23 is: 58.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.86 : 96.38 = 42.23 : x
  2. Step 2: Convert to fraction form
    69.86/96.38 = 42.23/x
  3. Step 3: Cross multiply
    69.86x = 96.38 × 42.23
  4. Step 4: Simplify right side
    69.86x = 4,070.16
  5. Step 5: Solve for x
    x = 4,070.16/69.86
  6. Step 6: Final answer
    x = 58.27

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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.