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Finding the Fourth Proportional to 16.60, 24.76 and 14.80

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Solution

The fourth proportional to 16.60, 24.76 and 14.80 is: 22.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.60 : 24.76 = 14.80 : x
  2. Step 2: Convert to fraction form
    16.60/24.76 = 14.80/x
  3. Step 3: Cross multiply
    16.60x = 24.76 × 14.80
  4. Step 4: Simplify right side
    16.60x = 366.45
  5. Step 5: Solve for x
    x = 366.45/16.60
  6. Step 6: Final answer
    x = 22.08

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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.