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Finding the Fourth Proportional to 35.75, 49.03 and 34.00

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Solution

The fourth proportional to 35.75, 49.03 and 34.00 is: 46.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.75 : 49.03 = 34.00 : x
  2. Step 2: Convert to fraction form
    35.75/49.03 = 34.00/x
  3. Step 3: Cross multiply
    35.75x = 49.03 × 34.00
  4. Step 4: Simplify right side
    35.75x = 1,666.81
  5. Step 5: Solve for x
    x = 1,666.81/35.75
  6. Step 6: Final answer
    x = 46.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.