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Finding the Fourth Proportional to 10.65, 15.96 and 7.65

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Solution

The fourth proportional to 10.65, 15.96 and 7.65 is: 11.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.65 : 15.96 = 7.65 : x
  2. Step 2: Convert to fraction form
    10.65/15.96 = 7.65/x
  3. Step 3: Cross multiply
    10.65x = 15.96 × 7.65
  4. Step 4: Simplify right side
    10.65x = 122.09
  5. Step 5: Solve for x
    x = 122.09/10.65
  6. Step 6: Final answer
    x = 11.46

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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.