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Finding the Fourth Proportional to 67.70, 101.45 and 38.77

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Solution

The fourth proportional to 67.70, 101.45 and 38.77 is: 58.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.70 : 101.45 = 38.77 : x
  2. Step 2: Convert to fraction form
    67.70/101.45 = 38.77/x
  3. Step 3: Cross multiply
    67.70x = 101.45 × 38.77
  4. Step 4: Simplify right side
    67.70x = 3,932.71
  5. Step 5: Solve for x
    x = 3,932.71/67.70
  6. Step 6: Final answer
    x = 58.09

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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.