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Finding the Fourth Proportional to 108.07, 161.50 and 99.86

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Solution

The fourth proportional to 108.07, 161.50 and 99.86 is: 149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.07 : 161.50 = 99.86 : x
  2. Step 2: Convert to fraction form
    108.07/161.50 = 99.86/x
  3. Step 3: Cross multiply
    108.07x = 161.50 × 99.86
  4. Step 4: Simplify right side
    108.07x = 16,127.39
  5. Step 5: Solve for x
    x = 16,127.39/108.07
  6. Step 6: Final answer
    x = 149.23

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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.