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Finding the Fourth Proportional to 106.02, 158.10 and 105.11

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Solution

The fourth proportional to 106.02, 158.10 and 105.11 is: 156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.02 : 158.10 = 105.11 : x
  2. Step 2: Convert to fraction form
    106.02/158.10 = 105.11/x
  3. Step 3: Cross multiply
    106.02x = 158.10 × 105.11
  4. Step 4: Simplify right side
    106.02x = 16,617.10
  5. Step 5: Solve for x
    x = 16,617.10/106.02
  6. Step 6: Final answer
    x = 156.74

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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.