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Finding the Fourth Proportional to 123.58, 170.49 and 73.78

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Solution

The fourth proportional to 123.58, 170.49 and 73.78 is: 101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.58 : 170.49 = 73.78 : x
  2. Step 2: Convert to fraction form
    123.58/170.49 = 73.78/x
  3. Step 3: Cross multiply
    123.58x = 170.49 × 73.78
  4. Step 4: Simplify right side
    123.58x = 12,578.75
  5. Step 5: Solve for x
    x = 12,578.75/123.58
  6. Step 6: Final answer
    x = 101.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.