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Finding the Fourth Proportional to 114.57, 171.69 and 53.69

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Solution

The fourth proportional to 114.57, 171.69 and 53.69 is: 80.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.57 : 171.69 = 53.69 : x
  2. Step 2: Convert to fraction form
    114.57/171.69 = 53.69/x
  3. Step 3: Cross multiply
    114.57x = 171.69 × 53.69
  4. Step 4: Simplify right side
    114.57x = 9,216.98
  5. Step 5: Solve for x
    x = 9,216.98/114.57
  6. Step 6: Final answer
    x = 80.45

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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.