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Finding the Fourth Proportional to 55.10, 82.67 and 31.07

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Solution

The fourth proportional to 55.10, 82.67 and 31.07 is: 46.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.10 : 82.67 = 31.07 : x
  2. Step 2: Convert to fraction form
    55.10/82.67 = 31.07/x
  3. Step 3: Cross multiply
    55.10x = 82.67 × 31.07
  4. Step 4: Simplify right side
    55.10x = 2,568.56
  5. Step 5: Solve for x
    x = 2,568.56/55.10
  6. Step 6: Final answer
    x = 46.62

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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.