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Finding the Fourth Proportional to 67.90, 101.32 and 67.46

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Solution

The fourth proportional to 67.90, 101.32 and 67.46 is: 100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.90 : 101.32 = 67.46 : x
  2. Step 2: Convert to fraction form
    67.90/101.32 = 67.46/x
  3. Step 3: Cross multiply
    67.90x = 101.32 × 67.46
  4. Step 4: Simplify right side
    67.90x = 6,835.05
  5. Step 5: Solve for x
    x = 6,835.05/67.90
  6. Step 6: Final answer
    x = 100.66

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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.