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Finding the Fourth Proportional to 73.54, 109.55 and 72.76

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Solution

The fourth proportional to 73.54, 109.55 and 72.76 is: 108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.54 : 109.55 = 72.76 : x
  2. Step 2: Convert to fraction form
    73.54/109.55 = 72.76/x
  3. Step 3: Cross multiply
    73.54x = 109.55 × 72.76
  4. Step 4: Simplify right side
    73.54x = 7,970.86
  5. Step 5: Solve for x
    x = 7,970.86/73.54
  6. Step 6: Final answer
    x = 108.39

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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.