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Finding the Fourth Proportional to 52.00, 71.68 and 35.39

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Solution

The fourth proportional to 52.00, 71.68 and 35.39 is: 48.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.00 : 71.68 = 35.39 : x
  2. Step 2: Convert to fraction form
    52.00/71.68 = 35.39/x
  3. Step 3: Cross multiply
    52.00x = 71.68 × 35.39
  4. Step 4: Simplify right side
    52.00x = 2,536.81
  5. Step 5: Solve for x
    x = 2,536.81/52.00
  6. Step 6: Final answer
    x = 48.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.