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Finding the Fourth Proportional to 35.00, 52.16 and 34.71

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Solution

The fourth proportional to 35.00, 52.16 and 34.71 is: 51.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.00 : 52.16 = 34.71 : x
  2. Step 2: Convert to fraction form
    35.00/52.16 = 34.71/x
  3. Step 3: Cross multiply
    35.00x = 52.16 × 34.71
  4. Step 4: Simplify right side
    35.00x = 1,810.30
  5. Step 5: Solve for x
    x = 1,810.30/35.00
  6. Step 6: Final answer
    x = 51.73

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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.