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Finding the Fourth Proportional to 117.45, 162.15 and 78.12

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Solution

The fourth proportional to 117.45, 162.15 and 78.12 is: 107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.45 : 162.15 = 78.12 : x
  2. Step 2: Convert to fraction form
    117.45/162.15 = 78.12/x
  3. Step 3: Cross multiply
    117.45x = 162.15 × 78.12
  4. Step 4: Simplify right side
    117.45x = 12,667.16
  5. Step 5: Solve for x
    x = 12,667.16/117.45
  6. Step 6: Final answer
    x = 107.85

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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.