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Finding the Fourth Proportional to 94.21, 141 and 58.03

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Solution

The fourth proportional to 94.21, 141 and 58.03 is: 86.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.21 : 141 = 58.03 : x
  2. Step 2: Convert to fraction form
    94.21/141 = 58.03/x
  3. Step 3: Cross multiply
    94.21x = 141 × 58.03
  4. Step 4: Simplify right side
    94.21x = 8,182.23
  5. Step 5: Solve for x
    x = 8,182.23/94.21
  6. Step 6: Final answer
    x = 86.85

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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.