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Finding the Fourth Proportional to 170.02, 234.64 and 96.35

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Solution

The fourth proportional to 170.02, 234.64 and 96.35 is: 132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.02 : 234.64 = 96.35 : x
  2. Step 2: Convert to fraction form
    170.02/234.64 = 96.35/x
  3. Step 3: Cross multiply
    170.02x = 234.64 × 96.35
  4. Step 4: Simplify right side
    170.02x = 22,607.29
  5. Step 5: Solve for x
    x = 22,607.29/170.02
  6. Step 6: Final answer
    x = 132.97

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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.