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Finding the Fourth Proportional to 39.29, 58.94 and 37.70

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Solution

The fourth proportional to 39.29, 58.94 and 37.70 is: 56.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.29 : 58.94 = 37.70 : x
  2. Step 2: Convert to fraction form
    39.29/58.94 = 37.70/x
  3. Step 3: Cross multiply
    39.29x = 58.94 × 37.70
  4. Step 4: Simplify right side
    39.29x = 2,222.13
  5. Step 5: Solve for x
    x = 2,222.13/39.29
  6. Step 6: Final answer
    x = 56.56

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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.