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Finding the Fourth Proportional to 116.50, 160.79 and 67.39

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Solution

The fourth proportional to 116.50, 160.79 and 67.39 is: 93.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.50 : 160.79 = 67.39 : x
  2. Step 2: Convert to fraction form
    116.50/160.79 = 67.39/x
  3. Step 3: Cross multiply
    116.50x = 160.79 × 67.39
  4. Step 4: Simplify right side
    116.50x = 10,835.64
  5. Step 5: Solve for x
    x = 10,835.64/116.50
  6. Step 6: Final answer
    x = 93.01

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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.