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Finding the Fourth Proportional to 116.02, 160.08 and 66.88

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Solution

The fourth proportional to 116.02, 160.08 and 66.88 is: 92.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.02 : 160.08 = 66.88 : x
  2. Step 2: Convert to fraction form
    116.02/160.08 = 66.88/x
  3. Step 3: Cross multiply
    116.02x = 160.08 × 66.88
  4. Step 4: Simplify right side
    116.02x = 10,706.15
  5. Step 5: Solve for x
    x = 10,706.15/116.02
  6. Step 6: Final answer
    x = 92.28

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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.