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Finding the Fourth Proportional to 116.58, 174.84 and 48.15

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Solution

The fourth proportional to 116.58, 174.84 and 48.15 is: 72.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.58 : 174.84 = 48.15 : x
  2. Step 2: Convert to fraction form
    116.58/174.84 = 48.15/x
  3. Step 3: Cross multiply
    116.58x = 174.84 × 48.15
  4. Step 4: Simplify right side
    116.58x = 8,418.55
  5. Step 5: Solve for x
    x = 8,418.55/116.58
  6. Step 6: Final answer
    x = 72.21

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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.