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Finding the Fourth Proportional to 67.69, 101.47 and 31.58

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Solution

The fourth proportional to 67.69, 101.47 and 31.58 is: 47.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.69 : 101.47 = 31.58 : x
  2. Step 2: Convert to fraction form
    67.69/101.47 = 31.58/x
  3. Step 3: Cross multiply
    67.69x = 101.47 × 31.58
  4. Step 4: Simplify right side
    67.69x = 3,204.42
  5. Step 5: Solve for x
    x = 3,204.42/67.69
  6. Step 6: Final answer
    x = 47.34

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