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Finding the Fourth Proportional to 116.74, 174.25 and 100.54

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Solution

The fourth proportional to 116.74, 174.25 and 100.54 is: 150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.74 : 174.25 = 100.54 : x
  2. Step 2: Convert to fraction form
    116.74/174.25 = 100.54/x
  3. Step 3: Cross multiply
    116.74x = 174.25 × 100.54
  4. Step 4: Simplify right side
    116.74x = 17,519.10
  5. Step 5: Solve for x
    x = 17,519.10/116.74
  6. Step 6: Final answer
    x = 150.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.