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Finding the Fourth Proportional to 104.82, 156.36 and 97.40

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Solution

The fourth proportional to 104.82, 156.36 and 97.40 is: 145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.82 : 156.36 = 97.40 : x
  2. Step 2: Convert to fraction form
    104.82/156.36 = 97.40/x
  3. Step 3: Cross multiply
    104.82x = 156.36 × 97.40
  4. Step 4: Simplify right side
    104.82x = 15,228.68
  5. Step 5: Solve for x
    x = 15,228.68/104.82
  6. Step 6: Final answer
    x = 145.28

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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.