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Finding the Fourth Proportional to 123.57, 185.30 and 55.08

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Solution

The fourth proportional to 123.57, 185.30 and 55.08 is: 82.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.57 : 185.30 = 55.08 : x
  2. Step 2: Convert to fraction form
    123.57/185.30 = 55.08/x
  3. Step 3: Cross multiply
    123.57x = 185.30 × 55.08
  4. Step 4: Simplify right side
    123.57x = 10,206.05
  5. Step 5: Solve for x
    x = 10,206.05/123.57
  6. Step 6: Final answer
    x = 82.59

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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.