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Finding the Fourth Proportional to 39.13, 53.98 and 36.24

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Solution

The fourth proportional to 39.13, 53.98 and 36.24 is: 49.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.13 : 53.98 = 36.24 : x
  2. Step 2: Convert to fraction form
    39.13/53.98 = 36.24/x
  3. Step 3: Cross multiply
    39.13x = 53.98 × 36.24
  4. Step 4: Simplify right side
    39.13x = 1,956.24
  5. Step 5: Solve for x
    x = 1,956.24/39.13
  6. Step 6: Final answer
    x = 49.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.