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Finding the Fourth Proportional to 95.41, 130.61 and 92.31

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Solution

The fourth proportional to 95.41, 130.61 and 92.31 is: 126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.41 : 130.61 = 92.31 : x
  2. Step 2: Convert to fraction form
    95.41/130.61 = 92.31/x
  3. Step 3: Cross multiply
    95.41x = 130.61 × 92.31
  4. Step 4: Simplify right side
    95.41x = 12,056.35
  5. Step 5: Solve for x
    x = 12,056.35/95.41
  6. Step 6: Final answer
    x = 126.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.