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Finding the Fourth Proportional to 55.37, 82.99 and 26.48

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Solution

The fourth proportional to 55.37, 82.99 and 26.48 is: 39.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.37 : 82.99 = 26.48 : x
  2. Step 2: Convert to fraction form
    55.37/82.99 = 26.48/x
  3. Step 3: Cross multiply
    55.37x = 82.99 × 26.48
  4. Step 4: Simplify right side
    55.37x = 2,197.16
  5. Step 5: Solve for x
    x = 2,197.16/55.37
  6. Step 6: Final answer
    x = 39.69

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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.