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Finding the Fourth Proportional to 116.34, 174.53 and 61.53

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Solution

The fourth proportional to 116.34, 174.53 and 61.53 is: 92.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.34 : 174.53 = 61.53 : x
  2. Step 2: Convert to fraction form
    116.34/174.53 = 61.53/x
  3. Step 3: Cross multiply
    116.34x = 174.53 × 61.53
  4. Step 4: Simplify right side
    116.34x = 10,738.83
  5. Step 5: Solve for x
    x = 10,738.83/116.34
  6. Step 6: Final answer
    x = 92.31

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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.