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Finding the Fourth Proportional to 118.79, 177.96 and 73.16

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Solution

The fourth proportional to 118.79, 177.96 and 73.16 is: 109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.79 : 177.96 = 73.16 : x
  2. Step 2: Convert to fraction form
    118.79/177.96 = 73.16/x
  3. Step 3: Cross multiply
    118.79x = 177.96 × 73.16
  4. Step 4: Simplify right side
    118.79x = 13,019.55
  5. Step 5: Solve for x
    x = 13,019.55/118.79
  6. Step 6: Final answer
    x = 109.60

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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.