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Finding the Fourth Proportional to 94.41, 130.23 and 69.84

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Solution

The fourth proportional to 94.41, 130.23 and 69.84 is: 96.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.41 : 130.23 = 69.84 : x
  2. Step 2: Convert to fraction form
    94.41/130.23 = 69.84/x
  3. Step 3: Cross multiply
    94.41x = 130.23 × 69.84
  4. Step 4: Simplify right side
    94.41x = 9,095.26
  5. Step 5: Solve for x
    x = 9,095.26/94.41
  6. Step 6: Final answer
    x = 96.34

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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.