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Finding the Fourth Proportional to 16.56, 22.80 and 16.50

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Solution

The fourth proportional to 16.56, 22.80 and 16.50 is: 22.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.56 : 22.80 = 16.50 : x
  2. Step 2: Convert to fraction form
    16.56/22.80 = 16.50/x
  3. Step 3: Cross multiply
    16.56x = 22.80 × 16.50
  4. Step 4: Simplify right side
    16.56x = 376.20
  5. Step 5: Solve for x
    x = 376.20/16.56
  6. Step 6: Final answer
    x = 22.72

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