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Finding the Fourth Proportional to 39.52, 58.97 and 30.46

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Solution

The fourth proportional to 39.52, 58.97 and 30.46 is: 45.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.52 : 58.97 = 30.46 : x
  2. Step 2: Convert to fraction form
    39.52/58.97 = 30.46/x
  3. Step 3: Cross multiply
    39.52x = 58.97 × 30.46
  4. Step 4: Simplify right side
    39.52x = 1,796.23
  5. Step 5: Solve for x
    x = 1,796.23/39.52
  6. Step 6: Final answer
    x = 45.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.