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Finding the Fourth Proportional to 16.35, 22.56 and 10.20

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Solution

The fourth proportional to 16.35, 22.56 and 10.20 is: 14.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.35 : 22.56 = 10.20 : x
  2. Step 2: Convert to fraction form
    16.35/22.56 = 10.20/x
  3. Step 3: Cross multiply
    16.35x = 22.56 × 10.20
  4. Step 4: Simplify right side
    16.35x = 230.16
  5. Step 5: Solve for x
    x = 230.16/16.35
  6. Step 6: Final answer
    x = 14.08

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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.