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Finding the Fourth Proportional to 39.59, 59.28 and 29.42

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Solution

The fourth proportional to 39.59, 59.28 and 29.42 is: 44.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.59 : 59.28 = 29.42 : x
  2. Step 2: Convert to fraction form
    39.59/59.28 = 29.42/x
  3. Step 3: Cross multiply
    39.59x = 59.28 × 29.42
  4. Step 4: Simplify right side
    39.59x = 1,744.02
  5. Step 5: Solve for x
    x = 1,744.02/39.59
  6. Step 6: Final answer
    x = 44.05

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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.