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Finding the Fourth Proportional to 39.58, 59.19 and 29.84

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Solution

The fourth proportional to 39.58, 59.19 and 29.84 is: 44.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.58 : 59.19 = 29.84 : x
  2. Step 2: Convert to fraction form
    39.58/59.19 = 29.84/x
  3. Step 3: Cross multiply
    39.58x = 59.19 × 29.84
  4. Step 4: Simplify right side
    39.58x = 1,766.38
  5. Step 5: Solve for x
    x = 1,766.38/39.58
  6. Step 6: Final answer
    x = 44.63

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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.