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Finding the Fourth Proportional to 117.42, 162.12 and 75.96

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Solution

The fourth proportional to 117.42, 162.12 and 75.96 is: 104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.42 : 162.12 = 75.96 : x
  2. Step 2: Convert to fraction form
    117.42/162.12 = 75.96/x
  3. Step 3: Cross multiply
    117.42x = 162.12 × 75.96
  4. Step 4: Simplify right side
    117.42x = 12,314.64
  5. Step 5: Solve for x
    x = 12,314.64/117.42
  6. Step 6: Final answer
    x = 104.88

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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.