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Finding the Fourth Proportional to 10.51, 14.50 and 9.29

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Solution

The fourth proportional to 10.51, 14.50 and 9.29 is: 12.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.51 : 14.50 = 9.29 : x
  2. Step 2: Convert to fraction form
    10.51/14.50 = 9.29/x
  3. Step 3: Cross multiply
    10.51x = 14.50 × 9.29
  4. Step 4: Simplify right side
    10.51x = 134.68
  5. Step 5: Solve for x
    x = 134.68/10.51
  6. Step 6: Final answer
    x = 12.82

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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.