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Finding the Fourth Proportional to 40.46, 55.75 and 38.64

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Solution

The fourth proportional to 40.46, 55.75 and 38.64 is: 53.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.46 : 55.75 = 38.64 : x
  2. Step 2: Convert to fraction form
    40.46/55.75 = 38.64/x
  3. Step 3: Cross multiply
    40.46x = 55.75 × 38.64
  4. Step 4: Simplify right side
    40.46x = 2,154.18
  5. Step 5: Solve for x
    x = 2,154.18/40.46
  6. Step 6: Final answer
    x = 53.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.