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Finding the Fourth Proportional to 94.42, 141.67 and 43.05

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Solution

The fourth proportional to 94.42, 141.67 and 43.05 is: 64.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.42 : 141.67 = 43.05 : x
  2. Step 2: Convert to fraction form
    94.42/141.67 = 43.05/x
  3. Step 3: Cross multiply
    94.42x = 141.67 × 43.05
  4. Step 4: Simplify right side
    94.42x = 6,098.89
  5. Step 5: Solve for x
    x = 6,098.89/94.42
  6. Step 6: Final answer
    x = 64.59

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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.