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Finding the Fourth Proportional to 164, 245.94 and 55.80

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Solution

The fourth proportional to 164, 245.94 and 55.80 is: 83.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 245.94 = 55.80 : x
  2. Step 2: Convert to fraction form
    164/245.94 = 55.80/x
  3. Step 3: Cross multiply
    164x = 245.94 × 55.80
  4. Step 4: Simplify right side
    164x = 13,723.45
  5. Step 5: Solve for x
    x = 13,723.45/164
  6. Step 6: Final answer
    x = 83.68

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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.