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Finding the Fourth Proportional to 106.12, 146.38 and 71.08

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Solution

The fourth proportional to 106.12, 146.38 and 71.08 is: 98.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.12 : 146.38 = 71.08 : x
  2. Step 2: Convert to fraction form
    106.12/146.38 = 71.08/x
  3. Step 3: Cross multiply
    106.12x = 146.38 × 71.08
  4. Step 4: Simplify right side
    106.12x = 10,404.69
  5. Step 5: Solve for x
    x = 10,404.69/106.12
  6. Step 6: Final answer
    x = 98.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.