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Finding the Fourth Proportional to 34.87, 52.04 and 31.63

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Solution

The fourth proportional to 34.87, 52.04 and 31.63 is: 47.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.87 : 52.04 = 31.63 : x
  2. Step 2: Convert to fraction form
    34.87/52.04 = 31.63/x
  3. Step 3: Cross multiply
    34.87x = 52.04 × 31.63
  4. Step 4: Simplify right side
    34.87x = 1,646.03
  5. Step 5: Solve for x
    x = 1,646.03/34.87
  6. Step 6: Final answer
    x = 47.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.