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Finding the Fourth Proportional to 116.54, 174.72 and 35.34

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Solution

The fourth proportional to 116.54, 174.72 and 35.34 is: 52.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.54 : 174.72 = 35.34 : x
  2. Step 2: Convert to fraction form
    116.54/174.72 = 35.34/x
  3. Step 3: Cross multiply
    116.54x = 174.72 × 35.34
  4. Step 4: Simplify right side
    116.54x = 6,174.08
  5. Step 5: Solve for x
    x = 6,174.08/116.54
  6. Step 6: Final answer
    x = 52.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.