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Finding the Fourth Proportional to 14.93, 20.57 and 13.85

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Solution

The fourth proportional to 14.93, 20.57 and 13.85 is: 19.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.93 : 20.57 = 13.85 : x
  2. Step 2: Convert to fraction form
    14.93/20.57 = 13.85/x
  3. Step 3: Cross multiply
    14.93x = 20.57 × 13.85
  4. Step 4: Simplify right side
    14.93x = 284.89
  5. Step 5: Solve for x
    x = 284.89/14.93
  6. Step 6: Final answer
    x = 19.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.