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Finding the Fourth Proportional to 17.70, 24.48 and 16.02

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Solution

The fourth proportional to 17.70, 24.48 and 16.02 is: 22.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.70 : 24.48 = 16.02 : x
  2. Step 2: Convert to fraction form
    17.70/24.48 = 16.02/x
  3. Step 3: Cross multiply
    17.70x = 24.48 × 16.02
  4. Step 4: Simplify right side
    17.70x = 392.17
  5. Step 5: Solve for x
    x = 392.17/17.70
  6. Step 6: Final answer
    x = 22.16

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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.