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Finding the Fourth Proportional to 95.48, 130.99 and 92.96

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Solution

The fourth proportional to 95.48, 130.99 and 92.96 is: 127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.48 : 130.99 = 92.96 : x
  2. Step 2: Convert to fraction form
    95.48/130.99 = 92.96/x
  3. Step 3: Cross multiply
    95.48x = 130.99 × 92.96
  4. Step 4: Simplify right side
    95.48x = 12,176.83
  5. Step 5: Solve for x
    x = 12,176.83/95.48
  6. Step 6: Final answer
    x = 127.53

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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.