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Finding the Fourth Proportional to 10.50, 14.39 and 10.40

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Solution

The fourth proportional to 10.50, 14.39 and 10.40 is: 14.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.50 : 14.39 = 10.40 : x
  2. Step 2: Convert to fraction form
    10.50/14.39 = 10.40/x
  3. Step 3: Cross multiply
    10.50x = 14.39 × 10.40
  4. Step 4: Simplify right side
    10.50x = 149.59
  5. Step 5: Solve for x
    x = 149.59/10.50
  6. Step 6: Final answer
    x = 14.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.