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Finding the Fourth Proportional to 42.64, 63.92 and 35.08

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Solution

The fourth proportional to 42.64, 63.92 and 35.08 is: 52.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.64 : 63.92 = 35.08 : x
  2. Step 2: Convert to fraction form
    42.64/63.92 = 35.08/x
  3. Step 3: Cross multiply
    42.64x = 63.92 × 35.08
  4. Step 4: Simplify right side
    42.64x = 2,242.31
  5. Step 5: Solve for x
    x = 2,242.31/42.64
  6. Step 6: Final answer
    x = 52.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.