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Finding the Fourth Proportional to 72.54, 108.06 and 71.76

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Solution

The fourth proportional to 72.54, 108.06 and 71.76 is: 106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.54 : 108.06 = 71.76 : x
  2. Step 2: Convert to fraction form
    72.54/108.06 = 71.76/x
  3. Step 3: Cross multiply
    72.54x = 108.06 × 71.76
  4. Step 4: Simplify right side
    72.54x = 7,754.39
  5. Step 5: Solve for x
    x = 7,754.39/72.54
  6. Step 6: Final answer
    x = 106.90

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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.