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Finding the Fourth Proportional to 39.42, 59.00 and 36.09

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Solution

The fourth proportional to 39.42, 59.00 and 36.09 is: 54.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.42 : 59.00 = 36.09 : x
  2. Step 2: Convert to fraction form
    39.42/59.00 = 36.09/x
  3. Step 3: Cross multiply
    39.42x = 59.00 × 36.09
  4. Step 4: Simplify right side
    39.42x = 2,129.13
  5. Step 5: Solve for x
    x = 2,129.13/39.42
  6. Step 6: Final answer
    x = 54.01

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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.