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Finding the Fourth Proportional to 123.84, 185.76 and 75.09

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Solution

The fourth proportional to 123.84, 185.76 and 75.09 is: 112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.84 : 185.76 = 75.09 : x
  2. Step 2: Convert to fraction form
    123.84/185.76 = 75.09/x
  3. Step 3: Cross multiply
    123.84x = 185.76 × 75.09
  4. Step 4: Simplify right side
    123.84x = 13,948.72
  5. Step 5: Solve for x
    x = 13,948.72/123.84
  6. Step 6: Final answer
    x = 112.64

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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.