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Finding the Fourth Proportional to 82.64, 123.74 and 55.26

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Solution

The fourth proportional to 82.64, 123.74 and 55.26 is: 82.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.64 : 123.74 = 55.26 : x
  2. Step 2: Convert to fraction form
    82.64/123.74 = 55.26/x
  3. Step 3: Cross multiply
    82.64x = 123.74 × 55.26
  4. Step 4: Simplify right side
    82.64x = 6,837.87
  5. Step 5: Solve for x
    x = 6,837.87/82.64
  6. Step 6: Final answer
    x = 82.74

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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.