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Finding the Fourth Proportional to 106.38, 158.63 and 102.24

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Solution

The fourth proportional to 106.38, 158.63 and 102.24 is: 152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.38 : 158.63 = 102.24 : x
  2. Step 2: Convert to fraction form
    106.38/158.63 = 102.24/x
  3. Step 3: Cross multiply
    106.38x = 158.63 × 102.24
  4. Step 4: Simplify right side
    106.38x = 16,218.33
  5. Step 5: Solve for x
    x = 16,218.33/106.38
  6. Step 6: Final answer
    x = 152.46

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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.