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Finding the Fourth Proportional to 35.86, 53.79 and 34.96

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Solution

The fourth proportional to 35.86, 53.79 and 34.96 is: 52.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.86 : 53.79 = 34.96 : x
  2. Step 2: Convert to fraction form
    35.86/53.79 = 34.96/x
  3. Step 3: Cross multiply
    35.86x = 53.79 × 34.96
  4. Step 4: Simplify right side
    35.86x = 1,880.50
  5. Step 5: Solve for x
    x = 1,880.50/35.86
  6. Step 6: Final answer
    x = 52.44

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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.