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Finding the Fourth Proportional to 39.07, 53.97 and 30.82

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Solution

The fourth proportional to 39.07, 53.97 and 30.82 is: 42.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.07 : 53.97 = 30.82 : x
  2. Step 2: Convert to fraction form
    39.07/53.97 = 30.82/x
  3. Step 3: Cross multiply
    39.07x = 53.97 × 30.82
  4. Step 4: Simplify right side
    39.07x = 1,663.36
  5. Step 5: Solve for x
    x = 1,663.36/39.07
  6. Step 6: Final answer
    x = 42.57

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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.