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Finding the Fourth Proportional to 72.96, 108.99 and 71.04

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Solution

The fourth proportional to 72.96, 108.99 and 71.04 is: 106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.96 : 108.99 = 71.04 : x
  2. Step 2: Convert to fraction form
    72.96/108.99 = 71.04/x
  3. Step 3: Cross multiply
    72.96x = 108.99 × 71.04
  4. Step 4: Simplify right side
    72.96x = 7,742.65
  5. Step 5: Solve for x
    x = 7,742.65/72.96
  6. Step 6: Final answer
    x = 106.12

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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.