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Finding the Fourth Proportional to 55.58, 83.39 and 23.09

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Solution

The fourth proportional to 55.58, 83.39 and 23.09 is: 34.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.58 : 83.39 = 23.09 : x
  2. Step 2: Convert to fraction form
    55.58/83.39 = 23.09/x
  3. Step 3: Cross multiply
    55.58x = 83.39 × 23.09
  4. Step 4: Simplify right side
    55.58x = 1,924.94
  5. Step 5: Solve for x
    x = 1,924.94/55.58
  6. Step 6: Final answer
    x = 34.64

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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.