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Finding the Fourth Proportional to 155.10, 232.62 and 101.22

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Solution

The fourth proportional to 155.10, 232.62 and 101.22 is: 151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.10 : 232.62 = 101.22 : x
  2. Step 2: Convert to fraction form
    155.10/232.62 = 101.22/x
  3. Step 3: Cross multiply
    155.10x = 232.62 × 101.22
  4. Step 4: Simplify right side
    155.10x = 23,545.80
  5. Step 5: Solve for x
    x = 23,545.80/155.10
  6. Step 6: Final answer
    x = 151.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.