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Finding the Fourth Proportional to 114.14, 157.54 and 83.16

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Solution

The fourth proportional to 114.14, 157.54 and 83.16 is: 114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.14 : 157.54 = 83.16 : x
  2. Step 2: Convert to fraction form
    114.14/157.54 = 83.16/x
  3. Step 3: Cross multiply
    114.14x = 157.54 × 83.16
  4. Step 4: Simplify right side
    114.14x = 13,101.03
  5. Step 5: Solve for x
    x = 13,101.03/114.14
  6. Step 6: Final answer
    x = 114.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.