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Finding the Fourth Proportional to 114.15, 168.78 and 114.15

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Solution

The fourth proportional to 114.15, 168.78 and 114.15 is: 168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.15 : 168.78 = 114.15 : x
  2. Step 2: Convert to fraction form
    114.15/168.78 = 114.15/x
  3. Step 3: Cross multiply
    114.15x = 168.78 × 114.15
  4. Step 4: Simplify right side
    114.15x = 19,266.24
  5. Step 5: Solve for x
    x = 19,266.24/114.15
  6. Step 6: Final answer
    x = 168.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.