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Finding the Fourth Proportional to 169.54, 233.64 and 130.66

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Solution

The fourth proportional to 169.54, 233.64 and 130.66 is: 180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.54 : 233.64 = 130.66 : x
  2. Step 2: Convert to fraction form
    169.54/233.64 = 130.66/x
  3. Step 3: Cross multiply
    169.54x = 233.64 × 130.66
  4. Step 4: Simplify right side
    169.54x = 30,527.40
  5. Step 5: Solve for x
    x = 30,527.40/169.54
  6. Step 6: Final answer
    x = 180.06

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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.