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Finding the Fourth Proportional to 116.53, 160.74 and 85.39

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Solution

The fourth proportional to 116.53, 160.74 and 85.39 is: 117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.53 : 160.74 = 85.39 : x
  2. Step 2: Convert to fraction form
    116.53/160.74 = 85.39/x
  3. Step 3: Cross multiply
    116.53x = 160.74 × 85.39
  4. Step 4: Simplify right side
    116.53x = 13,725.19
  5. Step 5: Solve for x
    x = 13,725.19/116.53
  6. Step 6: Final answer
    x = 117.78

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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.