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Finding the Fourth Proportional to 28.53, 42.74 and 14.25

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Solution

The fourth proportional to 28.53, 42.74 and 14.25 is: 21.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.53 : 42.74 = 14.25 : x
  2. Step 2: Convert to fraction form
    28.53/42.74 = 14.25/x
  3. Step 3: Cross multiply
    28.53x = 42.74 × 14.25
  4. Step 4: Simplify right side
    28.53x = 608.97
  5. Step 5: Solve for x
    x = 608.97/28.53
  6. Step 6: Final answer
    x = 21.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.