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Finding the Fourth Proportional to 116.50, 160.77 and 66.72

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Solution

The fourth proportional to 116.50, 160.77 and 66.72 is: 92.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.50 : 160.77 = 66.72 : x
  2. Step 2: Convert to fraction form
    116.50/160.77 = 66.72/x
  3. Step 3: Cross multiply
    116.50x = 160.77 × 66.72
  4. Step 4: Simplify right side
    116.50x = 10,725.77
  5. Step 5: Solve for x
    x = 10,725.77/116.50
  6. Step 6: Final answer
    x = 92.07

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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.