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Finding the Fourth Proportional to 14.10, 21.29 and 14.03

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Solution

The fourth proportional to 14.10, 21.29 and 14.03 is: 21.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.10 : 21.29 = 14.03 : x
  2. Step 2: Convert to fraction form
    14.10/21.29 = 14.03/x
  3. Step 3: Cross multiply
    14.10x = 21.29 × 14.03
  4. Step 4: Simplify right side
    14.10x = 298.52
  5. Step 5: Solve for x
    x = 298.52/14.10
  6. Step 6: Final answer
    x = 21.17

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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.