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Finding the Fourth Proportional to 109.55, 151.24 and 72.76

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Solution

The fourth proportional to 109.55, 151.24 and 72.76 is: 100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.55 : 151.24 = 72.76 : x
  2. Step 2: Convert to fraction form
    109.55/151.24 = 72.76/x
  3. Step 3: Cross multiply
    109.55x = 151.24 × 72.76
  4. Step 4: Simplify right side
    109.55x = 11,003.10
  5. Step 5: Solve for x
    x = 11,003.10/109.55
  6. Step 6: Final answer
    x = 100.44

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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.