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Finding the Fourth Proportional to 39.29, 58.98 and 30.77

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Solution

The fourth proportional to 39.29, 58.98 and 30.77 is: 46.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.29 : 58.98 = 30.77 : x
  2. Step 2: Convert to fraction form
    39.29/58.98 = 30.77/x
  3. Step 3: Cross multiply
    39.29x = 58.98 × 30.77
  4. Step 4: Simplify right side
    39.29x = 1,814.81
  5. Step 5: Solve for x
    x = 1,814.81/39.29
  6. Step 6: Final answer
    x = 46.19

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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.