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Finding the Fourth Proportional to 10.46, 14.31 and 10.40

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Solution

The fourth proportional to 10.46, 14.31 and 10.40 is: 14.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.46 : 14.31 = 10.40 : x
  2. Step 2: Convert to fraction form
    10.46/14.31 = 10.40/x
  3. Step 3: Cross multiply
    10.46x = 14.31 × 10.40
  4. Step 4: Simplify right side
    10.46x = 148.82
  5. Step 5: Solve for x
    x = 148.82/10.46
  6. Step 6: Final answer
    x = 14.23

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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.