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Finding the Fourth Proportional to 113.32, 170.46 and 102.28

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Solution

The fourth proportional to 113.32, 170.46 and 102.28 is: 153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.32 : 170.46 = 102.28 : x
  2. Step 2: Convert to fraction form
    113.32/170.46 = 102.28/x
  3. Step 3: Cross multiply
    113.32x = 170.46 × 102.28
  4. Step 4: Simplify right side
    113.32x = 17,434.65
  5. Step 5: Solve for x
    x = 17,434.65/113.32
  6. Step 6: Final answer
    x = 153.85

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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.