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Finding the Fourth Proportional to 114.93, 158.56 and 83.78

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Solution

The fourth proportional to 114.93, 158.56 and 83.78 is: 115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.93 : 158.56 = 83.78 : x
  2. Step 2: Convert to fraction form
    114.93/158.56 = 83.78/x
  3. Step 3: Cross multiply
    114.93x = 158.56 × 83.78
  4. Step 4: Simplify right side
    114.93x = 13,283.15
  5. Step 5: Solve for x
    x = 13,283.15/114.93
  6. Step 6: Final answer
    x = 115.58

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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.