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Finding the Fourth Proportional to 39.59, 54.88 and 37.50

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Solution

The fourth proportional to 39.59, 54.88 and 37.50 is: 51.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.59 : 54.88 = 37.50 : x
  2. Step 2: Convert to fraction form
    39.59/54.88 = 37.50/x
  3. Step 3: Cross multiply
    39.59x = 54.88 × 37.50
  4. Step 4: Simplify right side
    39.59x = 2,058.01
  5. Step 5: Solve for x
    x = 2,058.01/39.59
  6. Step 6: Final answer
    x = 51.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.