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Finding the Fourth Proportional to 117.92, 177.04 and 80.16

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Solution

The fourth proportional to 117.92, 177.04 and 80.16 is: 120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.92 : 177.04 = 80.16 : x
  2. Step 2: Convert to fraction form
    117.92/177.04 = 80.16/x
  3. Step 3: Cross multiply
    117.92x = 177.04 × 80.16
  4. Step 4: Simplify right side
    117.92x = 14,191.53
  5. Step 5: Solve for x
    x = 14,191.53/117.92
  6. Step 6: Final answer
    x = 120.35

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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.