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Finding the Fourth Proportional to 72.25, 108.16 and 71.35

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Solution

The fourth proportional to 72.25, 108.16 and 71.35 is: 106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.25 : 108.16 = 71.35 : x
  2. Step 2: Convert to fraction form
    72.25/108.16 = 71.35/x
  3. Step 3: Cross multiply
    72.25x = 108.16 × 71.35
  4. Step 4: Simplify right side
    72.25x = 7,716.77
  5. Step 5: Solve for x
    x = 7,716.77/72.25
  6. Step 6: Final answer
    x = 106.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.