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Finding the Fourth Proportional to 170.94, 235.88 and 97.26

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Solution

The fourth proportional to 170.94, 235.88 and 97.26 is: 134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.94 : 235.88 = 97.26 : x
  2. Step 2: Convert to fraction form
    170.94/235.88 = 97.26/x
  3. Step 3: Cross multiply
    170.94x = 235.88 × 97.26
  4. Step 4: Simplify right side
    170.94x = 22,941.69
  5. Step 5: Solve for x
    x = 22,941.69/170.94
  6. Step 6: Final answer
    x = 134.21

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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.