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Finding the Fourth Proportional to 155.01, 214.14 and 106.11

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Solution

The fourth proportional to 155.01, 214.14 and 106.11 is: 146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.01 : 214.14 = 106.11 : x
  2. Step 2: Convert to fraction form
    155.01/214.14 = 106.11/x
  3. Step 3: Cross multiply
    155.01x = 214.14 × 106.11
  4. Step 4: Simplify right side
    155.01x = 22,722.79
  5. Step 5: Solve for x
    x = 22,722.79/155.01
  6. Step 6: Final answer
    x = 146.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.