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Finding the Fourth Proportional to 123.34, 170.04 and 97.42

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Solution

The fourth proportional to 123.34, 170.04 and 97.42 is: 134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.34 : 170.04 = 97.42 : x
  2. Step 2: Convert to fraction form
    123.34/170.04 = 97.42/x
  3. Step 3: Cross multiply
    123.34x = 170.04 × 97.42
  4. Step 4: Simplify right side
    123.34x = 16,565.30
  5. Step 5: Solve for x
    x = 16,565.30/123.34
  6. Step 6: Final answer
    x = 134.31

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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.