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Finding the Fourth Proportional to 116.95, 174.41 and 99.94

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Solution

The fourth proportional to 116.95, 174.41 and 99.94 is: 149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.95 : 174.41 = 99.94 : x
  2. Step 2: Convert to fraction form
    116.95/174.41 = 99.94/x
  3. Step 3: Cross multiply
    116.95x = 174.41 × 99.94
  4. Step 4: Simplify right side
    116.95x = 17,429.60
  5. Step 5: Solve for x
    x = 17,429.60/116.95
  6. Step 6: Final answer
    x = 149.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.