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Finding the Fourth Proportional to 114.54, 171.70 and 87.42

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Solution

The fourth proportional to 114.54, 171.70 and 87.42 is: 131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.54 : 171.70 = 87.42 : x
  2. Step 2: Convert to fraction form
    114.54/171.70 = 87.42/x
  3. Step 3: Cross multiply
    114.54x = 171.70 × 87.42
  4. Step 4: Simplify right side
    114.54x = 15,010.01
  5. Step 5: Solve for x
    x = 15,010.01/114.54
  6. Step 6: Final answer
    x = 131.05

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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.