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Finding the Fourth Proportional to 123.92, 170.94 and 85.16

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Solution

The fourth proportional to 123.92, 170.94 and 85.16 is: 117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.92 : 170.94 = 85.16 : x
  2. Step 2: Convert to fraction form
    123.92/170.94 = 85.16/x
  3. Step 3: Cross multiply
    123.92x = 170.94 × 85.16
  4. Step 4: Simplify right side
    123.92x = 14,557.25
  5. Step 5: Solve for x
    x = 14,557.25/123.92
  6. Step 6: Final answer
    x = 117.47

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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.