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Finding the Fourth Proportional to 117.66, 162.32 and 78.34

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Solution

The fourth proportional to 117.66, 162.32 and 78.34 is: 108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.66 : 162.32 = 78.34 : x
  2. Step 2: Convert to fraction form
    117.66/162.32 = 78.34/x
  3. Step 3: Cross multiply
    117.66x = 162.32 × 78.34
  4. Step 4: Simplify right side
    117.66x = 12,716.15
  5. Step 5: Solve for x
    x = 12,716.15/117.66
  6. Step 6: Final answer
    x = 108.07

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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.