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Finding the Fourth Proportional to 40.08, 59.72 and 38.24

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Solution

The fourth proportional to 40.08, 59.72 and 38.24 is: 56.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.08 : 59.72 = 38.24 : x
  2. Step 2: Convert to fraction form
    40.08/59.72 = 38.24/x
  3. Step 3: Cross multiply
    40.08x = 59.72 × 38.24
  4. Step 4: Simplify right side
    40.08x = 2,283.69
  5. Step 5: Solve for x
    x = 2,283.69/40.08
  6. Step 6: Final answer
    x = 56.98

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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.