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Finding the Fourth Proportional to 35.84, 53.80 and 19.82

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Solution

The fourth proportional to 35.84, 53.80 and 19.82 is: 29.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.84 : 53.80 = 19.82 : x
  2. Step 2: Convert to fraction form
    35.84/53.80 = 19.82/x
  3. Step 3: Cross multiply
    35.84x = 53.80 × 19.82
  4. Step 4: Simplify right side
    35.84x = 1,066.32
  5. Step 5: Solve for x
    x = 1,066.32/35.84
  6. Step 6: Final answer
    x = 29.75

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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.