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Finding the Fourth Proportional to 39.16, 58.37 and 37.84

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Solution

The fourth proportional to 39.16, 58.37 and 37.84 is: 56.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.16 : 58.37 = 37.84 : x
  2. Step 2: Convert to fraction form
    39.16/58.37 = 37.84/x
  3. Step 3: Cross multiply
    39.16x = 58.37 × 37.84
  4. Step 4: Simplify right side
    39.16x = 2,208.72
  5. Step 5: Solve for x
    x = 2,208.72/39.16
  6. Step 6: Final answer
    x = 56.40

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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.