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Finding the Fourth Proportional to 106.28, 160.16 and 101.30

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Solution

The fourth proportional to 106.28, 160.16 and 101.30 is: 152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.28 : 160.16 = 101.30 : x
  2. Step 2: Convert to fraction form
    106.28/160.16 = 101.30/x
  3. Step 3: Cross multiply
    106.28x = 160.16 × 101.30
  4. Step 4: Simplify right side
    106.28x = 16,224.21
  5. Step 5: Solve for x
    x = 16,224.21/106.28
  6. Step 6: Final answer
    x = 152.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.