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Finding the Fourth Proportional to 40.64, 56.08 and 29.75

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Solution

The fourth proportional to 40.64, 56.08 and 29.75 is: 41.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.64 : 56.08 = 29.75 : x
  2. Step 2: Convert to fraction form
    40.64/56.08 = 29.75/x
  3. Step 3: Cross multiply
    40.64x = 56.08 × 29.75
  4. Step 4: Simplify right side
    40.64x = 1,668.14
  5. Step 5: Solve for x
    x = 1,668.14/40.64
  6. Step 6: Final answer
    x = 41.05

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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.