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Finding the Fourth Proportional to 13.10, 19.71 and 10.56

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Solution

The fourth proportional to 13.10, 19.71 and 10.56 is: 15.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.10 : 19.71 = 10.56 : x
  2. Step 2: Convert to fraction form
    13.10/19.71 = 10.56/x
  3. Step 3: Cross multiply
    13.10x = 19.71 × 10.56
  4. Step 4: Simplify right side
    13.10x = 208.21
  5. Step 5: Solve for x
    x = 208.21/13.10
  6. Step 6: Final answer
    x = 15.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.