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Finding the Fourth Proportional to 35.96, 53.72 and 34.59

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Solution

The fourth proportional to 35.96, 53.72 and 34.59 is: 51.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.96 : 53.72 = 34.59 : x
  2. Step 2: Convert to fraction form
    35.96/53.72 = 34.59/x
  3. Step 3: Cross multiply
    35.96x = 53.72 × 34.59
  4. Step 4: Simplify right side
    35.96x = 1,858.00
  5. Step 5: Solve for x
    x = 1,858.00/35.96
  6. Step 6: Final answer
    x = 51.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.