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Finding the Fourth Proportional to 169.35, 233.70 and 95.66

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Solution

The fourth proportional to 169.35, 233.70 and 95.66 is: 132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.35 : 233.70 = 95.66 : x
  2. Step 2: Convert to fraction form
    169.35/233.70 = 95.66/x
  3. Step 3: Cross multiply
    169.35x = 233.70 × 95.66
  4. Step 4: Simplify right side
    169.35x = 22,354.57
  5. Step 5: Solve for x
    x = 22,354.57/169.35
  6. Step 6: Final answer
    x = 132.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.