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Finding the Fourth Proportional to 113.42, 170.71 and 102.24

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Solution

The fourth proportional to 113.42, 170.71 and 102.24 is: 153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.42 : 170.71 = 102.24 : x
  2. Step 2: Convert to fraction form
    113.42/170.71 = 102.24/x
  3. Step 3: Cross multiply
    113.42x = 170.71 × 102.24
  4. Step 4: Simplify right side
    113.42x = 17,453.13
  5. Step 5: Solve for x
    x = 17,453.13/113.42
  6. Step 6: Final answer
    x = 153.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.