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Finding the Fourth Proportional to 39.40, 59.10 and 16.57

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Solution

The fourth proportional to 39.40, 59.10 and 16.57 is: 24.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.40 : 59.10 = 16.57 : x
  2. Step 2: Convert to fraction form
    39.40/59.10 = 16.57/x
  3. Step 3: Cross multiply
    39.40x = 59.10 × 16.57
  4. Step 4: Simplify right side
    39.40x = 979.30
  5. Step 5: Solve for x
    x = 979.30/39.40
  6. Step 6: Final answer
    x = 24.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.