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Finding the Fourth Proportional to 106.30, 160.26 and 99.71

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Solution

The fourth proportional to 106.30, 160.26 and 99.71 is: 150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.30 : 160.26 = 99.71 : x
  2. Step 2: Convert to fraction form
    106.30/160.26 = 99.71/x
  3. Step 3: Cross multiply
    106.30x = 160.26 × 99.71
  4. Step 4: Simplify right side
    106.30x = 15,979.20
  5. Step 5: Solve for x
    x = 15,979.20/106.30
  6. Step 6: Final answer
    x = 150.32

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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.