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Finding the Fourth Proportional to 40.77, 56.16 and 38.16

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Solution

The fourth proportional to 40.77, 56.16 and 38.16 is: 52.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.77 : 56.16 = 38.16 : x
  2. Step 2: Convert to fraction form
    40.77/56.16 = 38.16/x
  3. Step 3: Cross multiply
    40.77x = 56.16 × 38.16
  4. Step 4: Simplify right side
    40.77x = 2,143.07
  5. Step 5: Solve for x
    x = 2,143.07/40.77
  6. Step 6: Final answer
    x = 52.56

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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.