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Finding the Fourth Proportional to 55.08, 82.64 and 16.57

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Solution

The fourth proportional to 55.08, 82.64 and 16.57 is: 24.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.08 : 82.64 = 16.57 : x
  2. Step 2: Convert to fraction form
    55.08/82.64 = 16.57/x
  3. Step 3: Cross multiply
    55.08x = 82.64 × 16.57
  4. Step 4: Simplify right side
    55.08x = 1,369.09
  5. Step 5: Solve for x
    x = 1,369.09/55.08
  6. Step 6: Final answer
    x = 24.85

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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.