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Finding the Fourth Proportional to 123.79, 185.57 and 78

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Solution

The fourth proportional to 123.79, 185.57 and 78 is: 116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.79 : 185.57 = 78 : x
  2. Step 2: Convert to fraction form
    123.79/185.57 = 78/x
  3. Step 3: Cross multiply
    123.79x = 185.57 × 78
  4. Step 4: Simplify right side
    123.79x = 14,474.46
  5. Step 5: Solve for x
    x = 14,474.46/123.79
  6. Step 6: Final answer
    x = 116.93

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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.