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Finding the Fourth Proportional to 123.60, 185.30 and 46.54

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Solution

The fourth proportional to 123.60, 185.30 and 46.54 is: 69.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.60 : 185.30 = 46.54 : x
  2. Step 2: Convert to fraction form
    123.60/185.30 = 46.54/x
  3. Step 3: Cross multiply
    123.60x = 185.30 × 46.54
  4. Step 4: Simplify right side
    123.60x = 8,623.86
  5. Step 5: Solve for x
    x = 8,623.86/123.60
  6. Step 6: Final answer
    x = 69.77

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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.