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Finding the Fourth Proportional to 14.58, 19.97 and 14.46

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Solution

The fourth proportional to 14.58, 19.97 and 14.46 is: 19.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.58 : 19.97 = 14.46 : x
  2. Step 2: Convert to fraction form
    14.58/19.97 = 14.46/x
  3. Step 3: Cross multiply
    14.58x = 19.97 × 14.46
  4. Step 4: Simplify right side
    14.58x = 288.69
  5. Step 5: Solve for x
    x = 288.69/14.58
  6. Step 6: Final answer
    x = 19.80

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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.