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Finding the Fourth Proportional to 35.84, 53.76 and 20.43

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Solution

The fourth proportional to 35.84, 53.76 and 20.43 is: 30.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.84 : 53.76 = 20.43 : x
  2. Step 2: Convert to fraction form
    35.84/53.76 = 20.43/x
  3. Step 3: Cross multiply
    35.84x = 53.76 × 20.43
  4. Step 4: Simplify right side
    35.84x = 1,098.24
  5. Step 5: Solve for x
    x = 1,098.24/35.84
  6. Step 6: Final answer
    x = 30.64

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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.