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Finding the Fourth Proportional to 106.16, 158.37 and 102.78

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Solution

The fourth proportional to 106.16, 158.37 and 102.78 is: 153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.16 : 158.37 = 102.78 : x
  2. Step 2: Convert to fraction form
    106.16/158.37 = 102.78/x
  3. Step 3: Cross multiply
    106.16x = 158.37 × 102.78
  4. Step 4: Simplify right side
    106.16x = 16,276.75
  5. Step 5: Solve for x
    x = 16,276.75/106.16
  6. Step 6: Final answer
    x = 153.32

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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.