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Finding the Fourth Proportional to 106.08, 146.32 and 71.02

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Solution

The fourth proportional to 106.08, 146.32 and 71.02 is: 97.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.08 : 146.32 = 71.02 : x
  2. Step 2: Convert to fraction form
    106.08/146.32 = 71.02/x
  3. Step 3: Cross multiply
    106.08x = 146.32 × 71.02
  4. Step 4: Simplify right side
    106.08x = 10,391.65
  5. Step 5: Solve for x
    x = 10,391.65/106.08
  6. Step 6: Final answer
    x = 97.96

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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.