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Finding the Fourth Proportional to 55.34, 83.00 and 16.81

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Solution

The fourth proportional to 55.34, 83.00 and 16.81 is: 25.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.34 : 83.00 = 16.81 : x
  2. Step 2: Convert to fraction form
    55.34/83.00 = 16.81/x
  3. Step 3: Cross multiply
    55.34x = 83.00 × 16.81
  4. Step 4: Simplify right side
    55.34x = 1,395.37
  5. Step 5: Solve for x
    x = 1,395.37/55.34
  6. Step 6: Final answer
    x = 25.22

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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.