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Finding the Fourth Proportional to 35.48, 53.09 and 24.09

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Solution

The fourth proportional to 35.48, 53.09 and 24.09 is: 36.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.48 : 53.09 = 24.09 : x
  2. Step 2: Convert to fraction form
    35.48/53.09 = 24.09/x
  3. Step 3: Cross multiply
    35.48x = 53.09 × 24.09
  4. Step 4: Simplify right side
    35.48x = 1,278.94
  5. Step 5: Solve for x
    x = 1,278.94/35.48
  6. Step 6: Final answer
    x = 36.05

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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.