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Finding the Fourth Proportional to 39.76, 59.36 and 37.20

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Solution

The fourth proportional to 39.76, 59.36 and 37.20 is: 55.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.76 : 59.36 = 37.20 : x
  2. Step 2: Convert to fraction form
    39.76/59.36 = 37.20/x
  3. Step 3: Cross multiply
    39.76x = 59.36 × 37.20
  4. Step 4: Simplify right side
    39.76x = 2,208.19
  5. Step 5: Solve for x
    x = 2,208.19/39.76
  6. Step 6: Final answer
    x = 55.54

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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.