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Finding the Fourth Proportional to 114.76, 171.30 and 101.09

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Solution

The fourth proportional to 114.76, 171.30 and 101.09 is: 150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.76 : 171.30 = 101.09 : x
  2. Step 2: Convert to fraction form
    114.76/171.30 = 101.09/x
  3. Step 3: Cross multiply
    114.76x = 171.30 × 101.09
  4. Step 4: Simplify right side
    114.76x = 17,317.15
  5. Step 5: Solve for x
    x = 17,317.15/114.76
  6. Step 6: Final answer
    x = 150.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.