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Finding the Fourth Proportional to 155.05, 214.02 and 105.91

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Solution

The fourth proportional to 155.05, 214.02 and 105.91 is: 146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.05 : 214.02 = 105.91 : x
  2. Step 2: Convert to fraction form
    155.05/214.02 = 105.91/x
  3. Step 3: Cross multiply
    155.05x = 214.02 × 105.91
  4. Step 4: Simplify right side
    155.05x = 22,666.86
  5. Step 5: Solve for x
    x = 22,666.86/155.05
  6. Step 6: Final answer
    x = 146.19

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Why These Related Problems?

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