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Finding the Fourth Proportional to 67.83, 101.64 and 31.17

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Solution

The fourth proportional to 67.83, 101.64 and 31.17 is: 46.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.83 : 101.64 = 31.17 : x
  2. Step 2: Convert to fraction form
    67.83/101.64 = 31.17/x
  3. Step 3: Cross multiply
    67.83x = 101.64 × 31.17
  4. Step 4: Simplify right side
    67.83x = 3,168.60
  5. Step 5: Solve for x
    x = 3,168.60/67.83
  6. Step 6: Final answer
    x = 46.72

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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.