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Finding the Fourth Proportional to 108.39, 161.87 and 102

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Solution

The fourth proportional to 108.39, 161.87 and 102 is: 152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.39 : 161.87 = 102 : x
  2. Step 2: Convert to fraction form
    108.39/161.87 = 102/x
  3. Step 3: Cross multiply
    108.39x = 161.87 × 102
  4. Step 4: Simplify right side
    108.39x = 16,510.23
  5. Step 5: Solve for x
    x = 16,510.23/108.39
  6. Step 6: Final answer
    x = 152.32

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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.