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Finding the Fourth Proportional to 105.15, 156.68 and 98.31

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Solution

The fourth proportional to 105.15, 156.68 and 98.31 is: 146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.15 : 156.68 = 98.31 : x
  2. Step 2: Convert to fraction form
    105.15/156.68 = 98.31/x
  3. Step 3: Cross multiply
    105.15x = 156.68 × 98.31
  4. Step 4: Simplify right side
    105.15x = 15,404.23
  5. Step 5: Solve for x
    x = 15,404.23/105.15
  6. Step 6: Final answer
    x = 146.50

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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.