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Finding the Fourth Proportional to 10.26, 14.16 and 7.80

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Solution

The fourth proportional to 10.26, 14.16 and 7.80 is: 10.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.26 : 14.16 = 7.80 : x
  2. Step 2: Convert to fraction form
    10.26/14.16 = 7.80/x
  3. Step 3: Cross multiply
    10.26x = 14.16 × 7.80
  4. Step 4: Simplify right side
    10.26x = 110.46
  5. Step 5: Solve for x
    x = 110.46/10.26
  6. Step 6: Final answer
    x = 10.77

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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.