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Finding the Fourth Proportional to 63.29, 87.35 and 37.42

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Solution

The fourth proportional to 63.29, 87.35 and 37.42 is: 51.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.29 : 87.35 = 37.42 : x
  2. Step 2: Convert to fraction form
    63.29/87.35 = 37.42/x
  3. Step 3: Cross multiply
    63.29x = 87.35 × 37.42
  4. Step 4: Simplify right side
    63.29x = 3,268.23
  5. Step 5: Solve for x
    x = 3,268.23/63.29
  6. Step 6: Final answer
    x = 51.64

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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.