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Finding the Fourth Proportional to 123.55, 170.41 and 74.38

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Solution

The fourth proportional to 123.55, 170.41 and 74.38 is: 102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.55 : 170.41 = 74.38 : x
  2. Step 2: Convert to fraction form
    123.55/170.41 = 74.38/x
  3. Step 3: Cross multiply
    123.55x = 170.41 × 74.38
  4. Step 4: Simplify right side
    123.55x = 12,675.10
  5. Step 5: Solve for x
    x = 12,675.10/123.55
  6. Step 6: Final answer
    x = 102.59

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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.