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Finding the Fourth Proportional to 114.57, 171.14 and 96.35

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Solution

The fourth proportional to 114.57, 171.14 and 96.35 is: 143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.57 : 171.14 = 96.35 : x
  2. Step 2: Convert to fraction form
    114.57/171.14 = 96.35/x
  3. Step 3: Cross multiply
    114.57x = 171.14 × 96.35
  4. Step 4: Simplify right side
    114.57x = 16,488.00
  5. Step 5: Solve for x
    x = 16,488.00/114.57
  6. Step 6: Final answer
    x = 143.91

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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.