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Finding the Fourth Proportional to 114.33, 170.99 and 102.24

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Solution

The fourth proportional to 114.33, 170.99 and 102.24 is: 152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.33 : 170.99 = 102.24 : x
  2. Step 2: Convert to fraction form
    114.33/170.99 = 102.24/x
  3. Step 3: Cross multiply
    114.33x = 170.99 × 102.24
  4. Step 4: Simplify right side
    114.33x = 17,480.65
  5. Step 5: Solve for x
    x = 17,480.65/114.33
  6. Step 6: Final answer
    x = 152.90

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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.