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Finding the Fourth Proportional to 155.64, 214.72 and 108.99

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Solution

The fourth proportional to 155.64, 214.72 and 108.99 is: 150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.64 : 214.72 = 108.99 : x
  2. Step 2: Convert to fraction form
    155.64/214.72 = 108.99/x
  3. Step 3: Cross multiply
    155.64x = 214.72 × 108.99
  4. Step 4: Simplify right side
    155.64x = 23,402.33
  5. Step 5: Solve for x
    x = 23,402.33/155.64
  6. Step 6: Final answer
    x = 150.36

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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.