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Finding the Fourth Proportional to 153.86, 230.64 and 109.90

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Solution

The fourth proportional to 153.86, 230.64 and 109.90 is: 164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.86 : 230.64 = 109.90 : x
  2. Step 2: Convert to fraction form
    153.86/230.64 = 109.90/x
  3. Step 3: Cross multiply
    153.86x = 230.64 × 109.90
  4. Step 4: Simplify right side
    153.86x = 25,346.18
  5. Step 5: Solve for x
    x = 25,346.18/153.86
  6. Step 6: Final answer
    x = 164.74

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Why These Related Problems?

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