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Finding the Fourth Proportional to 39.23, 54.13 and 31.06

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Solution

The fourth proportional to 39.23, 54.13 and 31.06 is: 42.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.23 : 54.13 = 31.06 : x
  2. Step 2: Convert to fraction form
    39.23/54.13 = 31.06/x
  3. Step 3: Cross multiply
    39.23x = 54.13 × 31.06
  4. Step 4: Simplify right side
    39.23x = 1,681.28
  5. Step 5: Solve for x
    x = 1,681.28/39.23
  6. Step 6: Final answer
    x = 42.86

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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.