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Finding the Fourth Proportional to 11.51, 15.84 and 10.78

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Solution

The fourth proportional to 11.51, 15.84 and 10.78 is: 14.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.51 : 15.84 = 10.78 : x
  2. Step 2: Convert to fraction form
    11.51/15.84 = 10.78/x
  3. Step 3: Cross multiply
    11.51x = 15.84 × 10.78
  4. Step 4: Simplify right side
    11.51x = 170.76
  5. Step 5: Solve for x
    x = 170.76/11.51
  6. Step 6: Final answer
    x = 14.84

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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.