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Finding the Fourth Proportional to 106.26, 160.18 and 101.35

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Solution

The fourth proportional to 106.26, 160.18 and 101.35 is: 152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.26 : 160.18 = 101.35 : x
  2. Step 2: Convert to fraction form
    106.26/160.18 = 101.35/x
  3. Step 3: Cross multiply
    106.26x = 160.18 × 101.35
  4. Step 4: Simplify right side
    106.26x = 16,234.19
  5. Step 5: Solve for x
    x = 16,234.19/106.26
  6. Step 6: Final answer
    x = 152.78

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