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Finding the Fourth Proportional to 114.45, 171.65 and 96.29

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Solution

The fourth proportional to 114.45, 171.65 and 96.29 is: 144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.45 : 171.65 = 96.29 : x
  2. Step 2: Convert to fraction form
    114.45/171.65 = 96.29/x
  3. Step 3: Cross multiply
    114.45x = 171.65 × 96.29
  4. Step 4: Simplify right side
    114.45x = 16,526.84
  5. Step 5: Solve for x
    x = 16,526.84/114.45
  6. Step 6: Final answer
    x = 144.40

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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.