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Finding the Fourth Proportional to 116.93, 174.84 and 100.02

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Solution

The fourth proportional to 116.93, 174.84 and 100.02 is: 149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.93 : 174.84 = 100.02 : x
  2. Step 2: Convert to fraction form
    116.93/174.84 = 100.02/x
  3. Step 3: Cross multiply
    116.93x = 174.84 × 100.02
  4. Step 4: Simplify right side
    116.93x = 17,487.50
  5. Step 5: Solve for x
    x = 17,487.50/116.93
  6. Step 6: Final answer
    x = 149.56

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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.