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Finding the Fourth Proportional to 40.16, 59.84 and 38.96

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Solution

The fourth proportional to 40.16, 59.84 and 38.96 is: 58.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.16 : 59.84 = 38.96 : x
  2. Step 2: Convert to fraction form
    40.16/59.84 = 38.96/x
  3. Step 3: Cross multiply
    40.16x = 59.84 × 38.96
  4. Step 4: Simplify right side
    40.16x = 2,331.37
  5. Step 5: Solve for x
    x = 2,331.37/40.16
  6. Step 6: Final answer
    x = 58.05

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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.