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Finding the Fourth Proportional to 109.50, 151.08 and 72.71

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Solution

The fourth proportional to 109.50, 151.08 and 72.71 is: 100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.50 : 151.08 = 72.71 : x
  2. Step 2: Convert to fraction form
    109.50/151.08 = 72.71/x
  3. Step 3: Cross multiply
    109.50x = 151.08 × 72.71
  4. Step 4: Simplify right side
    109.50x = 10,985.82
  5. Step 5: Solve for x
    x = 10,985.82/109.50
  6. Step 6: Final answer
    x = 100.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.