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Finding the Fourth Proportional to 95.44, 142.48 and 89.64

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Solution

The fourth proportional to 95.44, 142.48 and 89.64 is: 133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.44 : 142.48 = 89.64 : x
  2. Step 2: Convert to fraction form
    95.44/142.48 = 89.64/x
  3. Step 3: Cross multiply
    95.44x = 142.48 × 89.64
  4. Step 4: Simplify right side
    95.44x = 12,771.91
  5. Step 5: Solve for x
    x = 12,771.91/95.44
  6. Step 6: Final answer
    x = 133.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.