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Finding the Fourth Proportional to 46.00, 68.87 and 31.53

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Solution

The fourth proportional to 46.00, 68.87 and 31.53 is: 47.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.00 : 68.87 = 31.53 : x
  2. Step 2: Convert to fraction form
    46.00/68.87 = 31.53/x
  3. Step 3: Cross multiply
    46.00x = 68.87 × 31.53
  4. Step 4: Simplify right side
    46.00x = 2,171.55
  5. Step 5: Solve for x
    x = 2,171.55/46.00
  6. Step 6: Final answer
    x = 47.21

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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.