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Finding the Fourth Proportional to 114.57, 157.16 and 110.66

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Solution

The fourth proportional to 114.57, 157.16 and 110.66 is: 151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.57 : 157.16 = 110.66 : x
  2. Step 2: Convert to fraction form
    114.57/157.16 = 110.66/x
  3. Step 3: Cross multiply
    114.57x = 157.16 × 110.66
  4. Step 4: Simplify right side
    114.57x = 17,390.82
  5. Step 5: Solve for x
    x = 17,390.82/114.57
  6. Step 6: Final answer
    x = 151.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.