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Finding the Fourth Proportional to 108.99, 150.46 and 74.14

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Solution

The fourth proportional to 108.99, 150.46 and 74.14 is: 102.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.99 : 150.46 = 74.14 : x
  2. Step 2: Convert to fraction form
    108.99/150.46 = 74.14/x
  3. Step 3: Cross multiply
    108.99x = 150.46 × 74.14
  4. Step 4: Simplify right side
    108.99x = 11,154.54
  5. Step 5: Solve for x
    x = 11,154.54/108.99
  6. Step 6: Final answer
    x = 102.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.