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Finding the Fourth Proportional to 35.73, 53.62 and 24.35

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Solution

The fourth proportional to 35.73, 53.62 and 24.35 is: 36.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.73 : 53.62 = 24.35 : x
  2. Step 2: Convert to fraction form
    35.73/53.62 = 24.35/x
  3. Step 3: Cross multiply
    35.73x = 53.62 × 24.35
  4. Step 4: Simplify right side
    35.73x = 1,305.65
  5. Step 5: Solve for x
    x = 1,305.65/35.73
  6. Step 6: Final answer
    x = 36.54

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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.