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Finding the Fourth Proportional to 116.77, 175.09 and 78.25

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Solution

The fourth proportional to 116.77, 175.09 and 78.25 is: 117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.77 : 175.09 = 78.25 : x
  2. Step 2: Convert to fraction form
    116.77/175.09 = 78.25/x
  3. Step 3: Cross multiply
    116.77x = 175.09 × 78.25
  4. Step 4: Simplify right side
    116.77x = 13,700.79
  5. Step 5: Solve for x
    x = 13,700.79/116.77
  6. Step 6: Final answer
    x = 117.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.