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Finding the Fourth Proportional to 76.65, 115.09 and 65.31

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Solution

The fourth proportional to 76.65, 115.09 and 65.31 is: 98.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.65 : 115.09 = 65.31 : x
  2. Step 2: Convert to fraction form
    76.65/115.09 = 65.31/x
  3. Step 3: Cross multiply
    76.65x = 115.09 × 65.31
  4. Step 4: Simplify right side
    76.65x = 7,515.93
  5. Step 5: Solve for x
    x = 7,515.93/76.65
  6. Step 6: Final answer
    x = 98.06

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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.