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Finding the Fourth Proportional to 123.49, 170.31 and 74.35

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Solution

The fourth proportional to 123.49, 170.31 and 74.35 is: 102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.49 : 170.31 = 74.35 : x
  2. Step 2: Convert to fraction form
    123.49/170.31 = 74.35/x
  3. Step 3: Cross multiply
    123.49x = 170.31 × 74.35
  4. Step 4: Simplify right side
    123.49x = 12,662.55
  5. Step 5: Solve for x
    x = 12,662.55/123.49
  6. Step 6: Final answer
    x = 102.54

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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.