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Finding the Fourth Proportional to 71.33, 106.37 and 67.07

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Solution

The fourth proportional to 71.33, 106.37 and 67.07 is: 100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.33 : 106.37 = 67.07 : x
  2. Step 2: Convert to fraction form
    71.33/106.37 = 67.07/x
  3. Step 3: Cross multiply
    71.33x = 106.37 × 67.07
  4. Step 4: Simplify right side
    71.33x = 7,133.37
  5. Step 5: Solve for x
    x = 7,133.37/71.33
  6. Step 6: Final answer
    x = 100.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.