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Finding the Fourth Proportional to 116.58, 174.46 and 72.64

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Solution

The fourth proportional to 116.58, 174.46 and 72.64 is: 108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.58 : 174.46 = 72.64 : x
  2. Step 2: Convert to fraction form
    116.58/174.46 = 72.64/x
  3. Step 3: Cross multiply
    116.58x = 174.46 × 72.64
  4. Step 4: Simplify right side
    116.58x = 12,671.90
  5. Step 5: Solve for x
    x = 12,671.90/116.58
  6. Step 6: Final answer
    x = 108.70

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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.