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Finding the Fourth Proportional to 39.47, 59.06 and 29.09

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Solution

The fourth proportional to 39.47, 59.06 and 29.09 is: 43.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.47 : 59.06 = 29.09 : x
  2. Step 2: Convert to fraction form
    39.47/59.06 = 29.09/x
  3. Step 3: Cross multiply
    39.47x = 59.06 × 29.09
  4. Step 4: Simplify right side
    39.47x = 1,718.28
  5. Step 5: Solve for x
    x = 1,718.28/39.47
  6. Step 6: Final answer
    x = 43.54

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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.