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Finding the Fourth Proportional to 106.30, 159.69 and 102.25

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Solution

The fourth proportional to 106.30, 159.69 and 102.25 is: 153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.30 : 159.69 = 102.25 : x
  2. Step 2: Convert to fraction form
    106.30/159.69 = 102.25/x
  3. Step 3: Cross multiply
    106.30x = 159.69 × 102.25
  4. Step 4: Simplify right side
    106.30x = 16,328.30
  5. Step 5: Solve for x
    x = 16,328.30/106.30
  6. Step 6: Final answer
    x = 153.61

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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.