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Finding the Fourth Proportional to 123.90, 185.74 and 55.46

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Solution

The fourth proportional to 123.90, 185.74 and 55.46 is: 83.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.90 : 185.74 = 55.46 : x
  2. Step 2: Convert to fraction form
    123.90/185.74 = 55.46/x
  3. Step 3: Cross multiply
    123.90x = 185.74 × 55.46
  4. Step 4: Simplify right side
    123.90x = 10,301.14
  5. Step 5: Solve for x
    x = 10,301.14/123.90
  6. Step 6: Final answer
    x = 83.14

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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.