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Finding the Fourth Proportional to 35.82, 53.72 and 30.14

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Solution

The fourth proportional to 35.82, 53.72 and 30.14 is: 45.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.82 : 53.72 = 30.14 : x
  2. Step 2: Convert to fraction form
    35.82/53.72 = 30.14/x
  3. Step 3: Cross multiply
    35.82x = 53.72 × 30.14
  4. Step 4: Simplify right side
    35.82x = 1,619.12
  5. Step 5: Solve for x
    x = 1,619.12/35.82
  6. Step 6: Final answer
    x = 45.20

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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.