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Finding the Fourth Proportional to 71.64, 106.71 and 67.50

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Solution

The fourth proportional to 71.64, 106.71 and 67.50 is: 100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.64 : 106.71 = 67.50 : x
  2. Step 2: Convert to fraction form
    71.64/106.71 = 67.50/x
  3. Step 3: Cross multiply
    71.64x = 106.71 × 67.50
  4. Step 4: Simplify right side
    71.64x = 7,202.93
  5. Step 5: Solve for x
    x = 7,202.93/71.64
  6. Step 6: Final answer
    x = 100.54

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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.