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Finding the Fourth Proportional to 35.43, 53.16 and 16.16

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Solution

The fourth proportional to 35.43, 53.16 and 16.16 is: 24.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.43 : 53.16 = 16.16 : x
  2. Step 2: Convert to fraction form
    35.43/53.16 = 16.16/x
  3. Step 3: Cross multiply
    35.43x = 53.16 × 16.16
  4. Step 4: Simplify right side
    35.43x = 859.07
  5. Step 5: Solve for x
    x = 859.07/35.43
  6. Step 6: Final answer
    x = 24.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.