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Finding the Fourth Proportional to 39.50, 58.94 and 35.46

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Solution

The fourth proportional to 39.50, 58.94 and 35.46 is: 52.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.50 : 58.94 = 35.46 : x
  2. Step 2: Convert to fraction form
    39.50/58.94 = 35.46/x
  3. Step 3: Cross multiply
    39.50x = 58.94 × 35.46
  4. Step 4: Simplify right side
    39.50x = 2,090.01
  5. Step 5: Solve for x
    x = 2,090.01/39.50
  6. Step 6: Final answer
    x = 52.91

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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.