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Finding the Fourth Proportional to 117.60, 161.88 and 109.50

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Solution

The fourth proportional to 117.60, 161.88 and 109.50 is: 150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.60 : 161.88 = 109.50 : x
  2. Step 2: Convert to fraction form
    117.60/161.88 = 109.50/x
  3. Step 3: Cross multiply
    117.60x = 161.88 × 109.50
  4. Step 4: Simplify right side
    117.60x = 17,725.86
  5. Step 5: Solve for x
    x = 17,725.86/117.60
  6. Step 6: Final answer
    x = 150.73

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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.