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Finding the Fourth Proportional to 114.76, 171.41 and 114.16

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Solution

The fourth proportional to 114.76, 171.41 and 114.16 is: 170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.76 : 171.41 = 114.16 : x
  2. Step 2: Convert to fraction form
    114.76/171.41 = 114.16/x
  3. Step 3: Cross multiply
    114.76x = 171.41 × 114.16
  4. Step 4: Simplify right side
    114.76x = 19,568.17
  5. Step 5: Solve for x
    x = 19,568.17/114.76
  6. Step 6: Final answer
    x = 170.51

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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.