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Finding the Fourth Proportional to 114.16, 171.12 and 90.24

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Solution

The fourth proportional to 114.16, 171.12 and 90.24 is: 135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.16 : 171.12 = 90.24 : x
  2. Step 2: Convert to fraction form
    114.16/171.12 = 90.24/x
  3. Step 3: Cross multiply
    114.16x = 171.12 × 90.24
  4. Step 4: Simplify right side
    114.16x = 15,441.87
  5. Step 5: Solve for x
    x = 15,441.87/114.16
  6. Step 6: Final answer
    x = 135.27

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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.