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Finding the Fourth Proportional to 109.54, 151.14 and 72.26

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Solution

The fourth proportional to 109.54, 151.14 and 72.26 is: 99.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.54 : 151.14 = 72.26 : x
  2. Step 2: Convert to fraction form
    109.54/151.14 = 72.26/x
  3. Step 3: Cross multiply
    109.54x = 151.14 × 72.26
  4. Step 4: Simplify right side
    109.54x = 10,921.46
  5. Step 5: Solve for x
    x = 10,921.46/109.54
  6. Step 6: Final answer
    x = 99.70

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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.