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Finding the Fourth Proportional to 114.12, 170.96 and 78.08

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Solution

The fourth proportional to 114.12, 170.96 and 78.08 is: 116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.12 : 170.96 = 78.08 : x
  2. Step 2: Convert to fraction form
    114.12/170.96 = 78.08/x
  3. Step 3: Cross multiply
    114.12x = 170.96 × 78.08
  4. Step 4: Simplify right side
    114.12x = 13,347.31
  5. Step 5: Solve for x
    x = 13,347.31/114.12
  6. Step 6: Final answer
    x = 116.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.