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Finding the Fourth Proportional to 16.59, 24.77 and 14.02

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Solution

The fourth proportional to 16.59, 24.77 and 14.02 is: 20.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.59 : 24.77 = 14.02 : x
  2. Step 2: Convert to fraction form
    16.59/24.77 = 14.02/x
  3. Step 3: Cross multiply
    16.59x = 24.77 × 14.02
  4. Step 4: Simplify right side
    16.59x = 347.28
  5. Step 5: Solve for x
    x = 347.28/16.59
  6. Step 6: Final answer
    x = 20.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.