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Finding the Fourth Proportional to 95.50, 131.81 and 54.07

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Solution

The fourth proportional to 95.50, 131.81 and 54.07 is: 74.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.50 : 131.81 = 54.07 : x
  2. Step 2: Convert to fraction form
    95.50/131.81 = 54.07/x
  3. Step 3: Cross multiply
    95.50x = 131.81 × 54.07
  4. Step 4: Simplify right side
    95.50x = 7,126.37
  5. Step 5: Solve for x
    x = 7,126.37/95.50
  6. Step 6: Final answer
    x = 74.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.