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Finding the Fourth Proportional to 114, 170.56 and 107.07

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Solution

The fourth proportional to 114, 170.56 and 107.07 is: 160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114 : 170.56 = 107.07 : x
  2. Step 2: Convert to fraction form
    114/170.56 = 107.07/x
  3. Step 3: Cross multiply
    114x = 170.56 × 107.07
  4. Step 4: Simplify right side
    114x = 18,261.86
  5. Step 5: Solve for x
    x = 18,261.86/114
  6. Step 6: Final answer
    x = 160.19

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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.