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Finding the Fourth Proportional to 108.76, 162.41 and 97.36

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Solution

The fourth proportional to 108.76, 162.41 and 97.36 is: 145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.76 : 162.41 = 97.36 : x
  2. Step 2: Convert to fraction form
    108.76/162.41 = 97.36/x
  3. Step 3: Cross multiply
    108.76x = 162.41 × 97.36
  4. Step 4: Simplify right side
    108.76x = 15,812.24
  5. Step 5: Solve for x
    x = 15,812.24/108.76
  6. Step 6: Final answer
    x = 145.39

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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.