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Finding the Fourth Proportional to 108.23, 161.40 and 96.08

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Solution

The fourth proportional to 108.23, 161.40 and 96.08 is: 143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.23 : 161.40 = 96.08 : x
  2. Step 2: Convert to fraction form
    108.23/161.40 = 96.08/x
  3. Step 3: Cross multiply
    108.23x = 161.40 × 96.08
  4. Step 4: Simplify right side
    108.23x = 15,506.83
  5. Step 5: Solve for x
    x = 15,506.83/108.23
  6. Step 6: Final answer
    x = 143.28

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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.