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Finding the Fourth Proportional to 39.29, 58.95 and 30.24

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Solution

The fourth proportional to 39.29, 58.95 and 30.24 is: 45.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.29 : 58.95 = 30.24 : x
  2. Step 2: Convert to fraction form
    39.29/58.95 = 30.24/x
  3. Step 3: Cross multiply
    39.29x = 58.95 × 30.24
  4. Step 4: Simplify right side
    39.29x = 1,782.65
  5. Step 5: Solve for x
    x = 1,782.65/39.29
  6. Step 6: Final answer
    x = 45.38

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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.