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Finding the Fourth Proportional to 123.65, 185.59 and 75.65

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Solution

The fourth proportional to 123.65, 185.59 and 75.65 is: 113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.65 : 185.59 = 75.65 : x
  2. Step 2: Convert to fraction form
    123.65/185.59 = 75.65/x
  3. Step 3: Cross multiply
    123.65x = 185.59 × 75.65
  4. Step 4: Simplify right side
    123.65x = 14,039.88
  5. Step 5: Solve for x
    x = 14,039.88/123.65
  6. Step 6: Final answer
    x = 113.55

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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.