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Finding the Fourth Proportional to 14.71, 20.29 and 10.56

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Solution

The fourth proportional to 14.71, 20.29 and 10.56 is: 14.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.71 : 20.29 = 10.56 : x
  2. Step 2: Convert to fraction form
    14.71/20.29 = 10.56/x
  3. Step 3: Cross multiply
    14.71x = 20.29 × 10.56
  4. Step 4: Simplify right side
    14.71x = 214.26
  5. Step 5: Solve for x
    x = 214.26/14.71
  6. Step 6: Final answer
    x = 14.57

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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.