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Finding the Fourth Proportional to 132.94, 182.54 and 116.65

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Solution

The fourth proportional to 132.94, 182.54 and 116.65 is: 160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.94 : 182.54 = 116.65 : x
  2. Step 2: Convert to fraction form
    132.94/182.54 = 116.65/x
  3. Step 3: Cross multiply
    132.94x = 182.54 × 116.65
  4. Step 4: Simplify right side
    132.94x = 21,293.29
  5. Step 5: Solve for x
    x = 21,293.29/132.94
  6. Step 6: Final answer
    x = 160.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.