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Finding the Fourth Proportional to 109.49, 150.89 and 74.52

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Solution

The fourth proportional to 109.49, 150.89 and 74.52 is: 102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.49 : 150.89 = 74.52 : x
  2. Step 2: Convert to fraction form
    109.49/150.89 = 74.52/x
  3. Step 3: Cross multiply
    109.49x = 150.89 × 74.52
  4. Step 4: Simplify right side
    109.49x = 11,243.95
  5. Step 5: Solve for x
    x = 11,243.95/109.49
  6. Step 6: Final answer
    x = 102.70

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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.