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Finding the Fourth Proportional to 71.21, 106.02 and 67.25

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Solution

The fourth proportional to 71.21, 106.02 and 67.25 is: 100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.21 : 106.02 = 67.25 : x
  2. Step 2: Convert to fraction form
    71.21/106.02 = 67.25/x
  3. Step 3: Cross multiply
    71.21x = 106.02 × 67.25
  4. Step 4: Simplify right side
    71.21x = 7,130.11
  5. Step 5: Solve for x
    x = 7,130.11/71.21
  6. Step 6: Final answer
    x = 100.12

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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.