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Finding the Fourth Proportional to 40.96, 56.46 and 32.77

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Solution

The fourth proportional to 40.96, 56.46 and 32.77 is: 45.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.96 : 56.46 = 32.77 : x
  2. Step 2: Convert to fraction form
    40.96/56.46 = 32.77/x
  3. Step 3: Cross multiply
    40.96x = 56.46 × 32.77
  4. Step 4: Simplify right side
    40.96x = 1,850.19
  5. Step 5: Solve for x
    x = 1,850.19/40.96
  6. Step 6: Final answer
    x = 45.17

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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.